I looked up on
www.car-part.com what salvage 5-speed transmissions are listed for a 1990 Celica 5S-FE. Only 90-93 Celica transmissions come up, which tells me you need to stay only with Celicas and only in the 90-93 Gen 5 family.
Assuming you want to replace an automatic with a manual. Just remember what you all need to put a 5-speed in there (interior floor pedals, hydraulics for clutch operation, clutch, engine flywheel, reverse relay, axles, ECM specific to manual transmission cars, etc.). You would need a 90-93 donor car to provide you with all this anyway. Pretty big job. You will need to be prepared with instructions on how to do it all.