86kW 4Age came from the AE82 Twin Cam and some models of MR2 (sorry I'm a Corolla boy don't know much about others). The 4AGE from the AE92 Had 2 variants that were basically the same except one had three ribs on the block and the latter version had 7 ribs, they were in the SX and Gti Corollas.
As for the other engines in the line up. The RV had the 7AFE high torque 1.8l engine. The SX (and Gti) had the 4AGE engine and all the other 1.6l engines in the AE92 lineup were the 4AFE engines. (don't forget that this was a twin car for the Holden Nova as well, but as far as I know they only got the 4AFE). I have also heard of a 1.4l engine called the 6AF but I think this could be for New Zealand.
The AE82's are a lot easier they had two basic engines. The Twin cam had the 'blue top' 4AGE and the others had a 4AC. The 4AC was the last carby engine to go into a Corolla, all the rest are EFI.