There's a bunch of 3d games that I can name off the top of my head which involve goth chicks, but the only 2D one that i'm aware of is Bones' Tales: The Manor. The only problem is that she's only a minor character which appears later on in the story and doesn't have that many content.
Oh...there's also camp pinewood, which features Gwen from Total Drama Island. She has quite a bit of content, but this time, the problem is the fact that the game itself is very clunky and hasn't really been made well.