I use some unlipped alloy rims and to reiterate what has been said above. As long as you stick to a wire rimmed tyre you should be ok.
I initialy tried some folding 27x1 1/8" Panaracer Pasela. I fitted & pumped them up as normal, all seemed ok for 5 minutes. Then I heard a strange noise and saw the tyres sliding of the rims. Glad I wasn't riding it at the time.
I now use 27x1 1/4 wire rimmed Paselas, these take 90psi and go up & down curbs ok. They looked a bit like tractor tyres, to my eyes at the start, but they look more normal to me now. Plus they're comfortable.