I'm in the process of finishing our basement, and I've used the city's website to schedule building inspections. Wish they also could have taken the application and payment for the permits that way too.
I also used the city's website in the past to request a "Dead End" sign be added to our lengthy cul de sac, as we frequently get people driving into it, looping around because they didn't realize it was a cul, and exiting right away. And we typically have lots of neighborhood kids playing in the cul, so we want to limit that. The request led to a couple quick back and forth emails with the manager of the street maintenance department, and within two days the sign was up.