The '85 is distinguished by a few things.
First, they have a rear sway bar. (Early '86 cars actually have tabs for the rear bar on the struts, but Toyota just used up what they had so there is no hard, fast rule as to when they stopped.) If you are staying in a stock class, this is good to have. Check to make sure it is there and that if it has been upgraded, it was done right. Does it squeak like a mouse? Is it adjustable? Good quality hardware used? Not a deal breaker, but you may have to do some maintenance if it was a poor DIY job and a K-Mart special bar.
Second, the emergency brake is on the left side of the center console. Later cars had it on the right, and some owners update their car. Make sure that if it was swapped, everything works right. Replacing an entire parking brake assembly can be a pita.
Third, they were sunroof cars, no T-Tops. I like this better because it is removable and easily stored in the "frunk". (front trunk) Obviously, check for decent rubber seals and that the drainage holes are clear. Water poured into the channel should drain out from the little black grills at the base of the c-pillars. Again, not a deal breaker because a new seal is available and the drains can be cleared, but check for water damage inside.
Fourth, the cooling air intake on the passenger side has two large openings with small horizontal slats. Later cars had more of a "scoop" appearance with larger horizontal slats. If you car has been swapped to the later design, you got a free upgrade. Enjoy.
Finally, rust is a problem. Front fenders simply unbolt, but are getting scarce to replace. Rust at the rear wheel arches means cutting and welding in some patches...which are available. In front of the rear wheels, there are small rubber triangles with a metal backing that really trap water and debris. These can rust out, but can be removed easily enough. If the sheet metal underneath is shot, then more welding and patching. The floors where your feet go will also rust, so look under the carpeting. There is a structural rib that runs front to back across the center of each floor. Look under the car and make sure it is still there. Cheap floor repairs will often leave this item out and just use a piece of flat sheet metal. The steel support piece inside the front and rear bumper is also rusted out. (I guarantee it) If anything is loose or drooping, you will have to replace this sooner than later. (Rock Auto has them)
MISC:
Check for the rear wing. It was not an option until '86. If yours has one added, check for rust around the mounting holes.
The black plastic pieces that run down the top edge of the trailing edges of the roof are hard to find. If yours are missing, get used to that look.
The fuel pump can go and is a pita to replace, but you can have mine of you need one. I pulled it and found out that the ground wire had popped off. So, check the wires first from inside the car before you go to the trouble of dropping the tank!
The engine is pretty darn reliable...if it has oil in it. (Apparently, this is one of those fussy Japanese engines that won't rev to redline at an autocross with zero oil in it without spinning a bearing. Jeez!) But complete short blocks are available, and the head gasket isn't too bad to replace, I did mine twice! (Again, a fussy engine that insists that you put the gasket in correctly. Jeez!) So barring gross user error, the engine is pretty stout.
Like any car of this age, expect to upgrade to poly bushings throughout, new shocks, new belts and hoses.