It all will depend on the wheels you choose together with the tire size. As an example, when I bought my car it had 15" AR Torque Thrust wheels on 226/60 15" tires. I was having rubbing issues on the back, despite having the original car´s height. turned out the 15" wheels were not the correct offset for my car.
I changed them for a combo of 15x7" front and 15 x 8" rear Torque Thrust II wheels BUT with the correct offset for my car, with 215/60 15" BFG tires. They now fit correctly inside the wheel wells, I have no rubbing issues.
If you want to run "trouble free" wheel / tire combos I seriously recommend you research well before jumping and buying the wheels.
As a general rule, 15x 6 and 15 x7 should fit with no rubbing issues (with a 4" wheel backspace) with 215/60 tires or lower.
Also consider if your car is lowered of course...
This how the car currently looks (I´m planning a 1" drop since I now have some space)
These are wheels and tires before mounting. I like having tall tires on this car to keep its vintage look, but you can install lower profile tires as well, I´ve seen 225/50 15" tires on lowered cars and they look awesome.