I'm not a fan of any Japanese Automatic transmission.
certain countries seem to do certain things better (or worse) than others. German heating and airconditioning. British electrical systems. American suspension. Japanese automatics.
I have a 4AOD transmission. A transmission that no one on this forum will ever have to worry about, because mine is one of the few still left alive. After LOTS of investment.
It's a wholly unreliable transmission. As far as others, I've always avoided automatics, but I have learned by comparison that their automatics are the weak point in the overall impecable manners of the car.
American cars have bullet-proof, rock crusher automatic transmission builds that last longer than the car.
Finally, I can say that everytime I have compared Japanese autos with manuals and autos, the autos lack the power and get-up. Perhaps it's because few transmissions will take advantage of the usually-higher poewr band of the japanese engine.
about the engines:
Older models use the 18R, 18RC and 20R\22R\22RE. 1.8 liters, then they jump to 2.2 liters (20R) and 2.4 liters (22Rx). The motor in the 4th gen Celica is a 3SGE, which is 1.8 liters and DOHC. TVIS is standard on US models as an emissions gain but also works to enhance the power band to 2500-4500rpm. TVIS is an air-valve that opens at lower RPMs.