I think the "Want" and "Playing" options are good as they can get, but when it comes to "Played", I think it should be more than that.
* There are games that I've beaten and/or completed
* There are games that I started to play, but then I stopped playing and won't get back
* There are games that I started to play, and took a break from, but I'm planning to get back to them eventually

I don't know the best way to present these buttons on the game pages. For example, when you click the "Played" button, then maybe multiple options will be shown and want you to pick the status of that (the ones I described above), or perhaps those 3 buttons can be added next to the Want and Playing buttons and remove the "Played" button. Even beaten/completed could be different options. Many statuses to think about. Either way, it would be super cool to be able to select the type of "played".