I actually played an otome game that had a yuri end. It was the greatest day of my life.
Actually, just about every one of the ren'ai Flash games at Nummyz.com has a "gay option" (to use a term from TVTropes). Is the lead character male? If so, then he can date at least one boy. Is the lead character female? There's at least one girl who's available.
I liked Nummyz' works, but they're awfully dry... A lot of trial and error is involved. It's not fun to save up five days' worth of earnings, purchase a present, and have the NPC say "no thanks." Especially in a Flash game where there's no saving or loading.
Anyway, for those who are curious, here's stuff I learned from browsing Play Asia today: THQ will be publishing "My Boyfriend" and "Princess in Love" in North America around September 2009. And everyone's favorite megacorporation Electronic Arts will publish a game called "Charm Girls Club: My Perfect Prom" this October. (Not sure if it's ren'ai-ish, but there's a chance.)
None of these games appeal to fanboys and Serious Business (thanks again, TVTropes) gamers. But I'm totally okay with that. I don't want mainstream video games to end up like mainstream comics books were a few years ago... where only a few collectors and loyal-but-aging fans cared, and everyone else treated the media form as a punchline. So even if the games mentioned above are shallow or forgettable, at least they're an attempt at expanding the world of games.
Like the last few people said, I'd be okay with an otome game which A) has substance, B) doesn't talk down to the audience, and C) has creative ideas. Ditto for BL games.