I play lots of games, though I've moved away from the MMORPG-type games (at least the ones with a monthly fee).
As for games that include LGBTQ characters and content, my favorite is:Bully
A Grand Theft Auto-style game where you play Jimmy Hopkins, a kid who's been expelled from several schools and at the start of the game begins at Bullworth Academy. The game includes opposite-sex and same-sex "romancing" and making-out scenes (the first opposite-sex encounters with each of the school's cliques are mandatory).
It's fun and humorous (and easy-to-learn) game...and Jimmy's pretty hot for a teenaged video game character ^_^YouTube video of Jimmy kissing Trent of the Bully clique