diff --git a/cirq-core/cirq/contrib/qasm_import/_parser.py b/cirq-core/cirq/contrib/qasm_import/_parser.py
index 29cb0d34726..80a7771ba07 100644
--- a/cirq-core/cirq/contrib/qasm_import/_parser.py
+++ b/cirq-core/cirq/contrib/qasm_import/_parser.py
@@ -238,41 +238,54 @@ def __init__(self) -> None:
     }
 
     qelib_gates = {
-        'rx': QasmGateStatement(
-            qasm_gate='rx', cirq_gate=(lambda params: ops.rx(params[0])), num_params=1, num_args=1
-        ),
-        'sx': QasmGateStatement(
-            qasm_gate='sx', num_params=0, num_args=1, cirq_gate=ops.XPowGate(exponent=0.5)
+        'ccx': QasmGateStatement(qasm_gate='ccx', num_params=0, num_args=3, cirq_gate=ops.CCX),
+        'ch': QasmGateStatement(
+            qasm_gate='ch', cirq_gate=ops.ControlledGate(ops.H), num_params=0, num_args=2
         ),
-        'sxdg': QasmGateStatement(
-            qasm_gate='sxdg', num_params=0, num_args=1, cirq_gate=ops.XPowGate(exponent=-0.5)
+        'crx': QasmGateStatement(
+            qasm_gate='crx',
+            num_params=1,
+            num_args=2,
+            cirq_gate=(lambda params: ops.ControlledGate(ops.rx(params[0]))),
         ),
-        'ry': QasmGateStatement(
-            qasm_gate='ry', cirq_gate=(lambda params: ops.ry(params[0])), num_params=1, num_args=1
+        'cry': QasmGateStatement(
+            qasm_gate='cry',
+            num_params=1,
+            num_args=2,
+            cirq_gate=(lambda params: ops.ControlledGate(ops.ry(params[0]))),
         ),
-        'rz': QasmGateStatement(
-            qasm_gate='rz', cirq_gate=(lambda params: ops.rz(params[0])), num_params=1, num_args=1
+        'crz': QasmGateStatement(
+            qasm_gate='crz',
+            num_params=1,
+            num_args=2,
+            cirq_gate=(lambda params: ops.ControlledGate(ops.rz(params[0]))),
         ),
-        'id': QasmGateStatement(
-            qasm_gate='id', cirq_gate=ops.IdentityGate(1), num_params=0, num_args=1
+        'cswap': QasmGateStatement(
+            qasm_gate='cswap', num_params=0, num_args=3, cirq_gate=ops.CSWAP
         ),
-        'u1': QasmGateStatement(
-            qasm_gate='u1',
-            cirq_gate=(lambda params: QasmUGate(0, 0, params[0] / np.pi)),
+        'cu1': QasmGateStatement(
+            qasm_gate='cu1',
             num_params=1,
-            num_args=1,
-        ),
-        'u2': QasmGateStatement(
-            qasm_gate='u2',
-            cirq_gate=(lambda params: QasmUGate(0.5, params[0] / np.pi, params[1] / np.pi)),
-            num_params=2,
-            num_args=1,
+            num_args=2,
+            cirq_gate=(lambda params: ops.ControlledGate(QasmUGate(0, 0, params[0] / np.pi))),
         ),
-        'u3': QasmGateStatement(
-            qasm_gate='u3',
+        'cu3': QasmGateStatement(
+            qasm_gate='cu3',
             num_params=3,
-            num_args=1,
-            cirq_gate=(lambda params: QasmUGate(*[p / np.pi for p in params])),
+            num_args=2,
+            cirq_gate=(lambda params: ops.ControlledGate(QasmUGate(*[p / np.pi for p in params]))),
+        ),
+        'cx': QasmGateStatement(qasm_gate='cx', cirq_gate=CX, num_params=0, num_args=2),
+        'cy': QasmGateStatement(
+            qasm_gate='cy', cirq_gate=ops.ControlledGate(ops.Y), num_params=0, num_args=2
+        ),
+        'cz': QasmGateStatement(qasm_gate='cz', cirq_gate=ops.CZ, num_params=0, num_args=2),
+        'h': QasmGateStatement(qasm_gate='h', num_params=0, num_args=1, cirq_gate=ops.H),
+        'id': QasmGateStatement(
+            qasm_gate='id', cirq_gate=ops.IdentityGate(1), num_params=0, num_args=1
+        ),
+        'iswap': QasmGateStatement(
+            qasm_gate='iswap', cirq_gate=ops.ISwapPowGate(), num_params=0, num_args=2
         ),
         'r': QasmGateStatement(
             qasm_gate='r',
@@ -284,45 +297,65 @@ def __init__(self) -> None:
                 )
             ),
         ),
-        'x': QasmGateStatement(qasm_gate='x', num_params=0, num_args=1, cirq_gate=ops.X),
-        'y': QasmGateStatement(qasm_gate='y', num_params=0, num_args=1, cirq_gate=ops.Y),
-        'z': QasmGateStatement(qasm_gate='z', num_params=0, num_args=1, cirq_gate=ops.Z),
-        'h': QasmGateStatement(qasm_gate='h', num_params=0, num_args=1, cirq_gate=ops.H),
-        's': QasmGateStatement(qasm_gate='s', num_params=0, num_args=1, cirq_gate=ops.S),
-        't': QasmGateStatement(qasm_gate='t', num_params=0, num_args=1, cirq_gate=ops.T),
-        'cx': QasmGateStatement(qasm_gate='cx', cirq_gate=CX, num_params=0, num_args=2),
-        'cy': QasmGateStatement(
-            qasm_gate='cy', cirq_gate=ops.ControlledGate(ops.Y), num_params=0, num_args=2
+        'rx': QasmGateStatement(
+            qasm_gate='rx', cirq_gate=(lambda params: ops.rx(params[0])), num_params=1, num_args=1
         ),
-        'cz': QasmGateStatement(qasm_gate='cz', cirq_gate=ops.CZ, num_params=0, num_args=2),
-        'ch': QasmGateStatement(
-            qasm_gate='ch', cirq_gate=ops.ControlledGate(ops.H), num_params=0, num_args=2
+        'ry': QasmGateStatement(
+            qasm_gate='ry', cirq_gate=(lambda params: ops.ry(params[0])), num_params=1, num_args=1
         ),
-        'cu1': QasmGateStatement(
-            qasm_gate='cu1',
+        'ryy': QasmGateStatement(
+            qasm_gate='ryy',
             num_params=1,
             num_args=2,
-            cirq_gate=(lambda params: ops.ControlledGate(QasmUGate(0, 0, params[0] / np.pi))),
+            cirq_gate=(lambda params: ops.YYPowGate(exponent=params[0] / np.pi)),
         ),
-        'cu3': QasmGateStatement(
-            qasm_gate='cu3',
-            num_params=3,
+        'rz': QasmGateStatement(
+            qasm_gate='rz', cirq_gate=(lambda params: ops.rz(params[0])), num_params=1, num_args=1
+        ),
+        'rxx': QasmGateStatement(
+            qasm_gate='rxx',
+            num_params=1,
             num_args=2,
-            cirq_gate=(lambda params: ops.ControlledGate(QasmUGate(*[p / np.pi for p in params]))),
+            cirq_gate=(lambda params: ops.XXPowGate(exponent=params[0] / np.pi)),
         ),
-        'crz': QasmGateStatement(
-            qasm_gate='crz',
+        'rzz': QasmGateStatement(
+            qasm_gate='rzz',
             num_params=1,
             num_args=2,
-            cirq_gate=(lambda params: ops.ControlledGate(ops.rz(params[0]))),
+            cirq_gate=(lambda params: ops.ZZPowGate(exponent=params[0] / np.pi)),
         ),
+        's': QasmGateStatement(qasm_gate='s', num_params=0, num_args=1, cirq_gate=ops.S),
+        'sdg': QasmGateStatement(qasm_gate='sdg', num_params=0, num_args=1, cirq_gate=ops.S**-1),
         'swap': QasmGateStatement(qasm_gate='swap', cirq_gate=ops.SWAP, num_params=0, num_args=2),
-        'cswap': QasmGateStatement(
-            qasm_gate='cswap', num_params=0, num_args=3, cirq_gate=ops.CSWAP
+        'sx': QasmGateStatement(
+            qasm_gate='sx', num_params=0, num_args=1, cirq_gate=ops.XPowGate(exponent=0.5)
         ),
-        'ccx': QasmGateStatement(qasm_gate='ccx', num_params=0, num_args=3, cirq_gate=ops.CCX),
-        'sdg': QasmGateStatement(qasm_gate='sdg', num_params=0, num_args=1, cirq_gate=ops.S**-1),
+        'sxdg': QasmGateStatement(
+            qasm_gate='sxdg', num_params=0, num_args=1, cirq_gate=ops.XPowGate(exponent=-0.5)
+        ),
+        't': QasmGateStatement(qasm_gate='t', num_params=0, num_args=1, cirq_gate=ops.T),
         'tdg': QasmGateStatement(qasm_gate='tdg', num_params=0, num_args=1, cirq_gate=ops.T**-1),
+        'u1': QasmGateStatement(
+            qasm_gate='u1',
+            cirq_gate=(lambda params: QasmUGate(0, 0, params[0] / np.pi)),
+            num_params=1,
+            num_args=1,
+        ),
+        'u2': QasmGateStatement(
+            qasm_gate='u2',
+            cirq_gate=(lambda params: QasmUGate(0.5, params[0] / np.pi, params[1] / np.pi)),
+            num_params=2,
+            num_args=1,
+        ),
+        'u3': QasmGateStatement(
+            qasm_gate='u3',
+            num_params=3,
+            num_args=1,
+            cirq_gate=(lambda params: QasmUGate(*[p / np.pi for p in params])),
+        ),
+        'x': QasmGateStatement(qasm_gate='x', num_params=0, num_args=1, cirq_gate=ops.X),
+        'y': QasmGateStatement(qasm_gate='y', num_params=0, num_args=1, cirq_gate=ops.Y),
+        'z': QasmGateStatement(qasm_gate='z', num_params=0, num_args=1, cirq_gate=ops.Z),
     }
 
     tokens = QasmLexer.tokens
diff --git a/cirq-core/cirq/contrib/qasm_import/_parser_test.py b/cirq-core/cirq/contrib/qasm_import/_parser_test.py
index f0239b468c0..2f7c1467864 100644
--- a/cirq-core/cirq/contrib/qasm_import/_parser_test.py
+++ b/cirq-core/cirq/contrib/qasm_import/_parser_test.py
@@ -1051,7 +1051,7 @@ def test_two_qubit_gates_not_enough_args(qasm_gate: str):
      include "qelib1.inc";
      qreg q[2];
      {qasm_gate} q[0];
-"""
+    """
 
     parser = QasmParser()
 
@@ -1512,3 +1512,159 @@ def test_nested_custom_gate_has_keyword_in_name():
     parser = QasmParser()
     parsed_qasm = parser.parse(qasm)
     assert parsed_qasm.circuit == expected
+
+
+def test_rzz_gate():
+    qasm = """
+    OPENQASM 2.0;
+    include "qelib1.inc";
+    qreg q[2];
+    rzz(pi/2) q[0],q[1];
+    """
+    parser = QasmParser()
+
+    q0, q1 = cirq.NamedQubit('q_0'), cirq.NamedQubit('q_1')
+
+    expected_circuit = Circuit()
+    expected_circuit.append(cirq.ZZPowGate(exponent=0.5).on(q0, q1))
+
+    parsed_qasm = parser.parse(qasm)
+
+    assert parsed_qasm.supportedFormat
+    assert parsed_qasm.qelib1Include
+
+    ct.assert_same_circuits(parsed_qasm.circuit, expected_circuit)
+    assert parsed_qasm.qregs == {'q': 2}
+
+
+def test_rxx_gate():
+    qasm = """
+    OPENQASM 2.0;
+    include "qelib1.inc";
+    qreg q[2];
+    rxx(pi/4) q[0],q[1];
+    """
+    parser = QasmParser()
+
+    q0, q1 = cirq.NamedQubit('q_0'), cirq.NamedQubit('q_1')
+
+    expected_circuit = Circuit()
+    expected_circuit.append(cirq.XXPowGate(exponent=0.25).on(q0, q1))
+
+    parsed_qasm = parser.parse(qasm)
+
+    assert parsed_qasm.supportedFormat
+    assert parsed_qasm.qelib1Include
+
+    ct.assert_same_circuits(parsed_qasm.circuit, expected_circuit)
+    assert parsed_qasm.qregs == {'q': 2}
+
+
+def test_ryy_gate():
+    qasm = """
+    OPENQASM 2.0;
+    include "qelib1.inc";
+    qreg q[2];
+    ryy(pi/3) q[0],q[1];
+    """
+    parser = QasmParser()
+
+    q0, q1 = cirq.NamedQubit('q_0'), cirq.NamedQubit('q_1')
+
+    expected_circuit = Circuit()
+    expected_circuit.append(cirq.YYPowGate(exponent=1 / 3).on(q0, q1))
+
+    parsed_qasm = parser.parse(qasm)
+
+    assert parsed_qasm.supportedFormat
+    assert parsed_qasm.qelib1Include
+
+    ct.assert_same_circuits(parsed_qasm.circuit, expected_circuit)
+    assert parsed_qasm.qregs == {'q': 2}
+
+
+def test_crx_gate():
+    qasm = """
+    OPENQASM 2.0;
+    include "qelib1.inc";
+    qreg q[2];
+    crx(pi/7) q[0],q[1];
+    """
+    parser = QasmParser()
+
+    q0, q1 = cirq.NamedQubit('q_0'), cirq.NamedQubit('q_1')
+
+    expected_circuit = Circuit()
+    expected_circuit.append(cirq.ControlledGate(cirq.rx(np.pi / 7)).on(q0, q1))
+
+    parsed_qasm = parser.parse(qasm)
+
+    assert parsed_qasm.supportedFormat
+    assert parsed_qasm.qelib1Include
+
+    ct.assert_same_circuits(parsed_qasm.circuit, expected_circuit)
+    assert parsed_qasm.qregs == {'q': 2}
+
+
+def test_iswap_gate():
+    qasm = """
+    OPENQASM 2.0;
+    include "qelib1.inc";
+    qreg q[2];
+    iswap q[0],q[1];
+    """
+    parser = QasmParser()
+
+    q0, q1 = cirq.NamedQubit('q_0'), cirq.NamedQubit('q_1')
+
+    expected_circuit = Circuit()
+    expected_circuit.append(cirq.ISwapPowGate().on(q0, q1))
+
+    parsed_qasm = parser.parse(qasm)
+
+    assert parsed_qasm.supportedFormat
+    assert parsed_qasm.qelib1Include
+
+    ct.assert_same_circuits(parsed_qasm.circuit, expected_circuit)
+    assert parsed_qasm.qregs == {'q': 2}
+
+
+@pytest.mark.parametrize(
+    "qasm_gate,cirq_gate,num_params,num_args",
+    [
+        (name, stmt.cirq_gate, stmt.num_params, stmt.num_args)
+        for name, stmt in QasmParser.qelib_gates.items()
+    ],
+)
+@pytest.mark.parametrize(
+    "theta,theta_str", [(np.pi / 4, "pi/4"), (np.pi / 2, "pi/2"), (np.pi, "pi")]
+)
+def test_all_qelib_gates_unitary_equivalence(
+    qasm_gate, cirq_gate, num_params, num_args, theta, theta_str
+):
+    thetas = [theta] * num_params
+    params_str = f"({','.join(theta_str for _ in range(num_params))})" if num_params else ""
+    qubit_names, qubits = [], []
+    for i in range(num_args):
+        qubit_names.append(f"q[{i}]")
+        qubits.append(cirq.NamedQubit(f"q_{i}"))
+    qasm = f"""
+        OPENQASM 2.0;
+        include "qelib1.inc";
+        qreg q[{num_args}];
+        {qasm_gate}{params_str} {','.join(qubit_names)};
+    """
+
+    parser = QasmParser()
+    parsed_qasm = parser.parse(qasm)
+    if num_params:
+        gate = cirq_gate(thetas)
+    else:
+        gate = cirq_gate
+    expected = Circuit()
+    expected.append(gate.on(*qubits))
+    imported = list(parsed_qasm.circuit.all_operations())[0].gate
+    U_native = cirq.unitary(gate)
+    U_import = cirq.unitary(imported)
+    assert np.allclose(U_import, U_native, atol=1e-8)
+    assert parsed_qasm.qregs == {'q': num_args}