How many kinds of matter are there?

Answer 1

If you mean how many different atomic elements there are, there are 118 known elements, 92 of which are observed to occur naturally and the rest have only been observed in laboratories.

If you mean how many different phases a matter can have, there are 4: solid, liquid, gas, and plasma.

If you mean how many types of combinations there is: elements, molecule, suspension, compound, colloid, mixture, solution, etc.

Answer 2

Three main ones, but in total, there are many, many more.

Plasma, solid, liquid, gas, Bose-Einstein condensate, Fermionic condensate, supercritical fluid, QCD, supersolid, superfluid, noncrystalline/amorphous solid (glass), superglass, liquid crystal, quark-gluon plasma, quantum hall, strange matter, and a few others.

add And not forgetting Dark matter about which we know almost nothing other than its name.