But getting back to the actual topic of the thread, I would like to see a show that focuses around a starbase/trading post in some frontier region of space, but, instead of following specifically the starbase and its crew, follow lots of different ships as they pass through the area.
Show stories on a local freighter, an alien diplomatic vessel, a deep space survey ship heading out to wherever, and then later coming back to the starbase. Any kind of ship and mission you can think of. And then every once in a while, you can show several of the main character crews meeting up (or not meeting up) on the starbase itself.
But why would it be Star Trek? That the thing, why brand with the Star Trek brand beyond cash cowing.
What isn't Star Trek about it? You can show all the exploration, science fiction storylines, Starfleet and the Federation, Colonists, Merchants, Diplomats, Aliens and anything else you think can hold up its own episode(s).
All of these things have been featured on every ST show we've already had, the only thing different about this is that you're showing a little more variety of settings and characters - which, as long as the writers are good, will still not stand in the way of creating characters that people really like and enjoy watching.
The only way it's not Star Trek, imo, is if your definition of ST demands that everything must automatically revolve around 1 starship - a definition none of the existing series actually meets.