Well I think there are really only two options and everyone has posted attest's to that. R33 and 180sx are out, you don't even like them and they are common... but r33 gts-t would be the quickest, but thats only good if you only care about which is fastest to start with.
So that leaves supra and 32. The supra can look very nice with the right kit, rims and paint - but a lot of them have hideous kits, ugly rims and faded poo paint. If you found a clean one for around $15k I would seriously consider it.... only annoying thing is non-turbo... I would worry about getting a bit over it. And then the 32. With that budget and some time you will be able to find a nice clean late model example and it has potential to go faster too without much money... Either supra or 32 would be a good choice in my opinion