In other words, only three "ingredients" are required to make any form of matter?
That would be going too far. Most of the observed matter - yes. Quark-gluon plasma (or quark matter) doesn't contain them. Dark matter can be made of postulated WIMPs, which are completely different particles from the proton, neutron and electron.
There exist whole zoo of subatomic particles, muons, pions, kaons, whatever - while they are mostly short lived, they definitely are forms of matter.
Does antimatter qualify as matter, or not?