What are the quantum particles that have an anti-quark component?

All hadrons and anti-hadrons have quarks and anti-quarks in their quark/anti-quark/gluon sea. However, if you limit your question to valence particles, the answer is that all mesons and all anti-baryons do. Mesons are particles comprised of a quark and an anti-quark.

The lightest mesons are pi mesons, or pions. Baryons are particles comprised of three quarks, and anti-baryons are comprised of three anti-quarks. Examples of baryons are protons and neutrons.

Examples of anti-baryons are anti-protons and anti-neutrons.

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