From the top:
#1) No idea yet. Appears to be encrusting, seems to maybe be in the SPS family like Montipora. However, it could be something completely different - time will tell.
#2) Favia - some call it a Christmas Favia because of that coloration.
#3) Palythoa - a very large coral similar but not the same family as Zoanthids sp.
#4) Zoanthids sp. - these come in many colorations and patterns with nicknames galore.
#5) Zoanthids sp. - same as above
#6) Lobyphytum or maybe Acan Maxima? You can definitely feed that particular coral some meaty food like mysis or chopped up krill. It's slow though, so you have to cover it from greedy shrimp; cover it up with a net or plastic dome for an hour or more.
