https://en.wikipedia.org/wiki/State_of_matter
https://en.wikipedia.org/wiki/Phase_(matter)
Nonclassical States: Amorphous Solid, Plastic Crystal, Liquid Crystal, Copolymer
Magnetically Ordered states: transition metal, quantum spin liquid.
Superfluids and condensates: Bose-Einsteincondensate, fermionic condensate
High-energy states: Degenerate matter, Quantum Chromodynamic (QCD) Matter, Color-glass condensate, very high energy states
Proposed: Supersolid, String-net liquid, superglass, chain-melted state, quantum hall effect, photonic matter,
Also seedy, but delicious.