interesting car.... sad thing is i can probably make a list that long (or not longer) for my ae92 "sr5"...... the aw11 scene kinda just fell on me.... first aw11 was my red 86 which i paid $200 for.... had no interior, so i finished stripping it, then turned around and sold it for $700...... used that money to buy a 4a-gze (ae101, 10psi stock pulley, 8.9:1, E series tranny with LSD, found TRD motormounts and TRD 3-puck clutch and pressure plate with lightened flywheel) for the 87 aw11 i had previously boughten for $100 (body in much better shape... both cars are hardtops, and the 87 has full interior which is nearly mint condition).
I use a compound called "GUNK Degreaser" you spray it on, wait a while, then wash it off. It works really well.
Whenever you find some spot that just will not come off, i used a power drill with one of the softer dremmel tool attachments, not the white ones, the black ones with what i could only describe as 'hair'. Make absolutely sure not to get anything that electricity will touch wet, and even so, let the engine dry for a while before you start it up.