I'd have the friends/family I gamed with rotate the GM role when it's needed.
Here's what I imagine I'd be playing during this mythical week of a game a day.
1) The Prince Valiant Role Playing Game.
Have 10 minutes and a small pile of quarters? Then you can learn to play this game and get playing.
Quick and easy, this game can be played straight out of the box and the very simple introductory adventure allows for a lot of role playing while also making it easy for the novice game master to run.
4) Home by Jim Pinto
The rule book is 32 short pages, all it requires is a deck of regular playing cards, and it's the first in Jim Pinto's very thematic and dramatic Protocol series of games. I'd love to play a few of these with my group, and a game fest like this would be the perfect opportunity. Oh, and I'd have the US version published with the Spanish cover.
5) Arena of Khazan by Ken St. Andre
C'mon, there is no way I'm getting a group of gamers over every day to play and Ken St. Andre's Arena of Khazan is one of the best, and most replayable, solo dungeons ever written.
6) DC Heroes by Mayfair Games
7) Tails of Equestria
A family friendly role playing game designed by the creator of the Mordheim skirmish miniature game? Yes please! This game is wonderfully easy to pick up and play and has a core mechanic that inspires creative thinking. It's also a great first game to GM.