A friend once pitched an idea to me about a concierge at a luxury hotel in NYC. Every episode would be a different set of issues the concierge has to deal with, from the mundane to the completely crazy, with cameos of famous people and their crazy requests.
I think the closest I've seen is High Maintenance before it was erased from the net when HBO picked it up.
Well, it seems someone at HBO took the idea one step further, now it's just one room in a hotel. Production costs will be almost nothing, cameos are still a possibility, and every episode can basically be whatever the writers dream up.