Acropora: Tenuis, Millepora, validia, austera, granulosa, etc
Montipora: Digitada, Spongodes, Capicornis, Undata, etc
Birdsnest
Stylo
To ID each of these can get pretty technical but to the average hobbyist we can look for certain things that may help.
Acros have many different polyp styles and branch structures. You kind of just need to see enough of certain kinds to know what they are. Tenuis and Millepora are easy. Millies have the long polyps usually and the Tenuis also has bushy polyps.
Montis all have the same looking polyps and usually dont have corallites like acros. They are smooth for the most part with the same flower looking polyps. Digitada will be branching and caps are scrolling, spongodes is always bright green with brown polyps and can be teddy bear like or bright green with fairly green polyps.
Birdsnests have an almost velvet look to some of them and some of them have polyps in straight rows. Most have thin but tightly packed branches and some have pointed growth tips.
Really its just experience that will let you learn them over time.