Personally what I'd like to see is a phone game that connects to the minigames in STO.
I want to play:
the scanner tricorder
the scanner ship sensors
and some other games that involve puzzles
I'd also love to see a game like Quarks Raffle a sort of daily lottery where players can win currency, gear, and special items to be used in game. I'd love to win some currency, doffs, boffs, special kits, marks for all three reps etc with these type games.
The login for such would of course need a connection to the net to play AND it would of course need to pick one of the toons on the login. They could even expand this code to do the same thing in their other games like NWO. Doesn't cost much for development in these things and would certainly improve gameplay for people and keep them interested.
Rift and LOTRO had these types of games and I loved them! I could play LOTRO daily lottery before logging in, and Rift scratchoffs all day. It was awesome imo. both games you would win currency, tokens for gear, items for crafting (including rare items).