This achievement requires paid content.
In order to get this achievement, you must first set a high score. High scores can only be set in ranked play. To access ranked play you must either play a machine that you have a license to play (either you purchased it or someone else on that XBox purchased it) or you must pay 40 MSP on a machine to buy a session. This achievement cannot be unlocked through demo play, classic play, or by using tokens on a friend's machine.
Once you've set a high score, simply beat it. The easiest way to do this is to fail horribly on your first play of a game by running into walls, bullets, or whatever else it takes to end the game quickly. Immediately play that game again and get a decent score and the achievement will unlock.