You have Turn-based games (1-10 days per move), also called Correspondence Chess.
Then you have Standard (G/30 or greater), Rapid (G/15-29), Blitz (G/5-14), Lightning or Bullet (G/1-4).
You can also play with incremental time added; that is, after each move, the computer adds a certain amount of seconds (usually 2-15 seconds per move).
You can set times to custom fit your level of play as well.
As to long games (G/60-120 mins.), i am not certain if they have it here or if you have to set the parameters as well for this.
Hopefully this helps. Please do not quote me on the times associated with each class of games as I typically stick to 10 mins or turn-based games but this will give you a good idea of how things work around here.
Good luck at whichever time control you play.
what are the different type games available on chess.com? bullet, etc, etc. will someone list them and describe them? tanks to all. tanks again.