The term "Aprés Ski" is non-existent in Utah, but much like the opium dens of Chinatown and the cockfights of the South Bronx, the evils of booze, billiards, and burgers can be found, provided you know where to look, and I'll give you a hint. You won't find it on the slopes. Besides, it's not the best idea to get shitfaced before heading back down the winding roads of Big Cottonwood Canyon (I knew a dude who hit a moose. Fucked up his hands so bad that he couldn't play bass for a month, and he sucked at the bass, so imagine sucking and then not playing for a month. He quit the bass). If you can manage to stave off the alcohol shakes for another 25 minutes, head to the Cotton Bottom, an unassuming structure on 2820 East and 6200 South (if you're not from Salt Lake, take a right at the mouth of Big Cottonwood and follow the road as it winds left. After the overpass, it's at the next intersection on your left hand side. Alternatively, you can roll down the windows and follow your nose). Here you'll find $8 pitchers and $5 garlic burgers, the latter of which will stay with you for the rest of the evening (that's a good thing), each burp reminding you of perfectly cooked ground sirloin laced with what I would guess to be nothing but granulated garlic and a dash of salt and pepper.
No fries here, but the burger's substantial enough that you won't need them. Plus, the beer's so weak that you really don't want to fill up on fried potatoes (besides, your dumb ass ate a huge plate of chili cheese fries on the mountain). If you're staying in the Salt Lake valley and your winter sports travels send you to Big or Little Cottonwood Canyons, I highly recommend making the Cotton Bottom your aprés ski destination. Buen Provecho.