I've been playing video games since the 1980s. Ever since I was old enough to hold a controller. I can't think of any video games that are Anti-LGBT, and if there are any, those games should be judged on their individual merits alone.
Now, do LGBT people get enough representation in video games? That's a better question. Most games don't touch the subject, (Mario, Sonic, Metroid, Zelda, on and on and on) and many more modern games leave it up to the player to decide all together (the Mass Effect series and The Old Republic come to mind), which I think is the best (and more creative) choice. I feel transgender representation is ... seriously lacking, and to a lesser extent, female representation is also lacking. But I'd rather not be represented than have it brought up badly any day.