I had a 1986 MKIII back in 2007 and loved that car, my dad and I stripped it down and restored the body as best we could in his garage, turned out really nice actually, made a paint booth and used his compressor so it wasn't a sketchy rattle can job.
Anyways, I drove it for a while until the bottom end of the motor gave out on me, it needed work. There was a mystery vibration that we never did figure out. I wasn't making enough money to fix that car up so I sold it to a guy that basically only wanted it for the mint body.
I'll post pictures tonight if I remember.
One issue with some of the older MKIII's is the body side moulding holds moisture and causes rust underneath, also the plastic warps and starts to fall off and it's near impossible to find replacements, at least it was for me at that time.
Once I have a house and a budget to buy a toy car, I'll definitely be picking up an MKIV, if I can find a LHD relatively stock one. Too many kids buying them and making them into cheaply done fast and furious remakes.
My local dealer had a near mint 2002(i think) Supra with the 2JZ-GTE in it, I'll post a pic from my phone in a second, I think he sold it for like 60-70k canadian.