Don't underestimate the power of atmosphere. If you usually try to rope her into sitting on the couch with you while you're rocking sweatpants, taking back bottles Miller High Life by the dozen, and eating bagel bites, she's probably not too enthused on joining in your lame game routine.
But if you, you know, put on pants and actually take her to sleek sports bar serving speciality cocktails, whose menu isn't limited to frozen-then-fried foods, she might actually enjoy the experience. You can revel in the unrivaled experience of watching the game from 30 different angles, and she might even be able to muster up some enthusiasm for the game after a few margaritas. "OMG, Basketball is amazingggg!" she'll cry, before drunkenly falling off her chair. Now that's a sports fan.