I have a set of 700c wheels and am looking to buy a used frame.
I want a frame that fits the 700c tires so I don't have to file down the front dropouts or use long reach brakes.
What are the frames called that fit 700c tires?
There's no 'official' standard, as mentioned in the comments. However, in a crude sense, I'd call them 'road frames.'
I'm sure there's exceptions to every one of these.