The Games User Research literature has advanced considerably on understanding why people play games and what different types of games or mechanics they prefer. However, what has been less studied is how models of player preferences explain their game choices. In this study, we address this question by analyzing data about the games that participants enjoy, their player trait scores, and their preferred game elements and playing styles. The results provide evidence that these scores can significantly explain participants’ preferences for different games. Additionally, we provide information about the characteristics of players who enjoy each game. This work was presented at CHI PLAY 2019.