We are not ganging up on you, but a definite no to the game. If you had a truly intimate relatiionship, it would be a different story.
An ice breaker for me would be a nice meal I did not have to cook, my favorite wine, and a sweet romantic dvd... I would not make a big production out of it. No candles or anything, you want it to be subtle, but nice.
Sit by her on the couch. Hold her hand, rub her feet, rub her shoulders (not all at one sitting, pick one she likes)...Just don't act like you expect anything in return. Woo her, fill her wine glass up. Yes, I know you have tried so many different things, but if you are still trying, these are some things that many women would like.
Otherwise, I think you may have to go ahead with the detaching and sticking to it. Maybe even some distance from her would be good for you. I'm not sure what route you are heading down. Sometimes I read you have told her it's over and then other times you are talking about the adult game, so I thought I would make a couple of suggestions.
Life's challenges are not supposed to paralyze you, they're supposed to help you discover who you are. -- Bernice Johnson Reagon