Hears How it goes:
For the 1st Gen...
4AGE = the NA motor
4AGZE = Supercharged Motor
For the 2nd Gen...
*in the U.S....
5SFE = the 2.2L NA motor
3SGTE = The 2.0L Turbo Motor
( I know there are other motors... )
Outside the U.S....
3SGE = 2.0L NA motor ( there are many generations of this motor including the BEAMS 3SGE which pumps out a insane 200hp but was only offered in 1000 2nd Gen MR2's in the late 90's which ment it never made it to the US

)
Ummm aside from that i dont think there are any more except the 3rd gen motors which are called the 1ZZFE motors. I'm not sure they vary out side the U.S.
Quick Chassis code guide:
Gen 1 = AW11 ( I think there's another too)
Gen 2 = SW20 ( I think there's a SW21 too but not sure)
Gen 3 = ZZW30
hope i could help