Here are the four TI-Boy appvars for a completed game of Pokemon Red, which includes Mew of course. These saves will only work if the TI-Boy app you're using is called "Pokemon", but if you want them to work with an app of a different name, I think I can modify them for that. These save files should be compatible with Pokemon Blue too. The graphics may be messed up when you first continue the game though. If so, just walk down a few steps and they should correct themselves when you change areas.
I guess there isn't much exploring left to do with a completed save, but I don't have any saves that are only partially or mostly completed with good Pokemon. It can still be fun to play around with end-game Pokemon, though. They're not even level 100s, so you could work on playing through the Elite Four and training them I guess.
