Look I am a lazy so-and-so and I haven't checked whether the idea has been brought up before, but I know it hasn't been done.
How about a big fat button at top centre of every screen that is a "jump to next playable game" warp. I hate, after looking around the site, then wanting to return to the "fray", but having to dodge around in the "My Games" section. Always having it on hand if you are looking at something else helps when playing speed games, e.g. when you want to get a feel for the opponents tactics from previous games but don't want to be out of your game too long. And for that matter, a return to last game/screen would help, although that is on the browser, so not a real necessity,but I imagine there are occaisions where that comes in handy.