The Buick Reatta wheel uses the 5x115 bolt pattern used on most large, FWD GM cars. The 1988 thru 1990 model Reattas came with 15" wheels, with the exception of the 1990 Select Sixty edition, which came with 16" wheels. The 1991 model Reattas all came with 16" wheels.
There are hundreds of aftermarket wheels to choose from. The list is so long that I will not try to cover them here. See your local tire store or auto parts store for a list of aftermarket wheels that will fit the Buick Reatta.
There are lots of possibilities for GM wheels other than the stock Reatta wheels. Many wheels from GM FWD cars, 1985-present, can be used as the bolt pattern is the same. Offset is a potential issue, and if you change wheel size, the tires need to be selected to minimize the impact of speedometer accuracy. Any wheel/tire combination over 1" taller than the stock wheel/tire height can be a problem as it may interfere with the strut spring retainer. Using taller tires with shorter tire sidewall height will minimize the possibility of rubbing being a problem.There are 16" chromes rims from the late 90's Regal and Riviera that would work and look good. You can go larger if you adjust your tire size accordingly. The current LaCrosse has a very good looking chrome spoke style rim (shows off more of the brake rotor and caliper if you like that look) that I would consider if I were going to change mine out again. I think this is a 17" rim, but don't know the offset or what tire size would be necessary to work well on the Reatta.
There are some very nice Cadillac rims from the later 90's and on STS, Eldorado and even the later model Deville/DTS line. Chrome LeSabre rims are a very good choice for wheels to replace the stock Reatta wheel while keeping the stock appearance.
Some very nice looking 16 and 17 inch wheels from later model Ford Mustangs will bolt on the Buick Reatta. Using them is not recommended due to the fact that the bolt circle for the 5 lug Mustang is 114.5mm versus 115mm for the Reatta.