Not being a Physicist, I have to wonder if all these particles are somehow manifestations of a simpler thing. Might there have been a point in time (long ago) where the “wave photon” and the “particle photon” seemed like possibly different things?
You don't have to wonder, because they are. They're manifestations of fields. I think it is a reasonable answer to tell people "if you're looking for the short list of simplest things, the number of types of fields there are is probably what you're looking for". That doesn't invalidate this question in general, though the number of different answers from people looking at the same thing suggests it may be underspecif…
[Edit: I suppose I'm imagining waves or frequencies of waves, rather than fields, hence why in my imagination there would be an infinite variety]