There are several places to sport climb and boulder around Quito. We didn’t go to any of them but the info for them can be found at mondedo.com
There were two obvious spots in Banos to climb. One below the zoo and the other directly under the bridge where the puenting takes place. The puenting by the way while still likely to be a good time is so small a rope jump for the size and potential of the bridge that I was a little embarrassed for them, though at $20 a jump I hardly think they care what I think. The climbing is grid bolted sport on short basalt. Something to do if your bored but nothing special.
Paunte – Sport climbing about 40 minutes from Cuenca. Good sport routes. Well bolted but not over bolted. Sharp, positive volcanic rock. Many routes from 5.10 up. Both the description of how to get there and the topo provided on monodedo.com were pretty bad. I’ve added a better description on how to get there and where to camp on Mountain Project here. As for the routes, we never had much luck with the topo, but it’s sport, eyeball and jump on it!