Supreme and Wildcat (overlooked low speed lift at the base) for my favorite Alta terrain. Do the Baldy hike at either/both resorts. It's easy and worth it if the snow is good. Be the first ones on Road to Provo to the traverse off Little Cloud at Snowbird on a powder day. Little Cloud laps in general are great if the visibility is good. Same with Mineral Basin, though it can get crowded. Incredible scenery back there on bluebird days. The stuff off the Cirque and High Traverse is great, though a bit hard to access. Locals will tell you that Snowbird has the steepest average pitch of any resort in the country, so keep that in mind for the intermediate skiers. I've always found Alta to have better intermediate options (as has my wife).I
If you're willing to wait and into sushi, Takashi in SLC is the best experience I've had anywhere. Cool post office bar next door while you wait. Do the omakase, tell them how much you want to spend (the bartender recommended $80, which is way less than I expected).
White Horse is pretty cool for food/drinks. Lake Effect is a really cool bar. Red iguana for elite, authentic cheap Mexican. YB will know more.