I"ve run everything from 18x7" wheels to 15x6" wheels. Of course wheel/tire rubbing all depends on a few things:

1) wheel width
2) wheel offset
3) tire size
4) how low you are
5) how much negative camber you are running

For a Civic (and most Civic based cars ie: CRX, Integra) a 15x7" with 40-45mm offset works with a 205/50x15" tire. I have 15x7" Enkei RPF1s with 41mm offset, 15x7" Kosei K1s with 45mm offset, both with 205/50x15" Azenis and no rubbing problems. But I'm also running -2.8 negative camber front and -1.8 rear.

With the 15x7" Kosei K1-TS with 38mm offset and the Azenis I was rubbing bad with the above camber (in the rear). With 16x7" Rota C8s with 40mm offset and 205/45x16" Toyo Proxes 4s I would rub lightly on the rears.

With 15x7" Kosei K1s with a 3mm spacer on the front I would rub with 225/45x15" Hoosier A3S03s on the front on the iinner and outer fenders.