Depends on the price for me. I played over 100 games of Metallica before I bought it, and I think that is a good amount. I hated Metallica the first time I played it (in hindsight, I think it was a lot of pent up Napster rage, lol), but started liking it after a few more games.
I bought GnR after only playing a handful of games at a show. At that price point, I would try to play more now, but it worked out well on GnR.
I'll buy games like Demo Man and No Fear after just a few plays. If I get tired of them, they are pretty easy to pass on to the next person.
I haven't bought anything since Metallica because there hasn't been any games that I really want to play 100 times since then. I think I would like to play AFM guite a bit, but it has been months since I actually went out and played it on location (there are 3 in the area). That is the main game I play on Pinball Arcade, so that probably has something to do with it.
So, I picked 20+ in the poll since that is what I have played before purchasing most of my games, but I think 100+ is better.