I c you guys wanted big & wild engine in AE100, i own an AE100 too my current engine is 4AGE 20v black NA tuned. Its fast & fun but not very easy to drive due to narrow power-band, have to keep the revs around 5-7k rpm. The best engine IMO for an AE100 is propably supercharged 4AGZE, its just as fun & powerful but alot easier to drive than the 20v lots of torque & power everywhere from 3,000rpm up. 3S-GTE is good but this engine is rare or at least not as much on the market as 4A engines.
As for 1JZ / 2JZ not sure its a good idea (don't see how it can fit), don't forget AE100 is a fwd car. 1JZ is just too powerful & too heavy for AE100, the car will suffer from understeer alot.