I'm biased. I'm a toyota fan, having a toyota 90 mdl car myself. So I'll just give you some pros and cons that could probably help you in your decision.

for ae92 corolla...
* the good thing about this car is that there's a lot of goodies and options you can have with this model. a 1992 would already have power amenities as well. the engine is okay, it has a respectable HP in stock form, but is sometimes notorious for gas consumption in its carbed form. well, an engine swap is often the way to go. the good thing about toyota, it has a wide range of selection for your engine choices such as 4EFTE, 4AFE, 4AGE TVIS, 4AGE HH, 4AGZE, 4AGE ST, and 4AGE BT. and most of this selection is still with the same engine displacement. Honestly, I find the car in stock form rather boring. But again there are a variety of facelifts you could take also. With a budget of 150k, you could get a souped up ae92 (modified engine, definitely a looker).

for galant GTi...
* if i don't mind the engine displacement, i would definitely get this one. many attest that this model is a classic. it is already a beauty in its stock form. the engine is superb, with 4G63 engine already.. if you want more power, then just add a turbo to make it 4G63T... that would impress everybody. hehe. among the 3 choices you have, this has the biggest body and most luxurious of them all. so if you're after comfort, this is your best bet.

for B13 sentra...
* i must admit, im a nissanbayan member myself, but i'm not really that familiar with the choices for nissan. but from experience with my sentra before, it is very torque. when you look for a B13, try getting the supersaloon series. it has complete power amenities. B13 i think is the best series among the sentra. it is very classy and sporty at the same time with the right mods.