Idk if there are types Besides branching and wall hammers and as far as frogspawn I believe there is only branching. As far as colors go Yellow, green, purple, and orange Ive seen some on LA that look blueish then of coarse you can mix and match those colors and throw the word neon around
These are the type you'll find, then some are more harder to find than others:
Euphyllia ancora - Hammer
Euphyllia divisa - Wall type and the hard to find metallic green, which is see through and the skeleton is a bowl shape. Euphyllia paradivisa Euphyllia cristata - Which is a Grape type wall coral. You can find large ones that form like a brain coral.
Euphyllia Yayamaenis
As mention above they come in a lot of difference colors, include metallic green which can also be see through.
There are also a number of hybrids, Hammer & Frogspawns.