Assuming you have a TE- body style car, it will fit BUT none of the mounts are the same, and you'll need to use the tranny that mates to the 22R. You will also need to extend the engine mounts ahead about 3 1/2" for the oil pan to clear the crossmember. The clutch fan won't fit but the stock electric fan works well, along with the stock rad. The only issue with the rad is the plumbing of the radiator hoses, which you might have to piece together to make it work.
For the transmission and mount, you'll have to find an early Celica-supra tranny crossmember (or make one yourself) and adjust it to bolt to your car. There are several holes to choose from, you'll see what I mean when you look at the floor of the car. You should also grab the front half of the 2-piece driveshaft from the Celica, as it will fit the tailshaft spline of the 22R's tranny and bolt to the rear half of your existing driveshaft.
For the transmission and mount, you'll have to find an early Celica-supra tranny crossmember (or make one yourself) and adjust it to bolt to your car. There are several holes to choose from, you'll see what I mean when you look at the floor of the car. You should also grab the front half of the 2-piece driveshaft from the Celica, as it will fit the tailshaft spline of the 22R's tranny and bolt to the rear half of your existing driveshaft.