You sure you used the right wording on your search? this has been asked/covered a few times before.
Here's a list of motors that are a popular swap on the AE86
Straight swap (no motor mount custom work required, can use AE86 transmission)
-4AGE/4AGZE 16V
-4AGE 20V (get a mallot, pound that firewall.. or cut it)
-7AGE (4AGE head, 7AFE block hybrid)
Not straight swap (mild to extensive motor mount work and transmission work required)
-3SGE/3SGTE (Also requires custom transmission and bellhousing)
-22RE/22RTE (from the Toyota trucks, pretty much custom everything)
-7MGE/7MGTE (from the MA Supras, it's been done)
-1JZGTE (from quite a few JDM Toyotas, been done also)
-2JZGE/2JZGTE (from the JZA Supras, been done by a few)
Non Toyota motors (been done, don't ask me.. ask google.

)
-SR20DET Nissan
-13B Mazda Rotary
-F20C Honda S2000 motor