This is a good idea for this app, but maybe the least realistic part of the old TV experience. You'd have maybe 3 "premium" channels of a mix of tv shows, news, talk shows, sports. Maybe a dedicated sports channel and dedicated news channel. A channel more biased towards educational shows. A channel or two of weird low-budget shows (local access). A few channels that don't come in well (static and distortion). And add some off-air "colorbars" sometimes. And a channel or two in a foreign language.
And then force the user to get off the couch and walk to the monitor to turn a knob when you want to change channel...