We have a lot of family-owned supper clubs in the Twin Cities, as well as the iconic Murray's and Manny's which are high-ticket locations. I love Murray's, but it is definitely a splurge.
My favorite steak place went out of business a few years ago. It was in "Nordeast" Minneapolis and was called Little Jack's, and my husband and I just loved it. It was wonderful for steaks, broiled chicken livers, and a lot of other supper club favorites, but also did an exceptional Thanksgiving lunch/dinner. You had a choice of a buffet or ordering from the menu, and we always chose the (limited) menu. They served first-rate roast duck as well as turkey with all the trimmings. Unfortunately, the place changed hands in 2004 and was not as good after that. In any event, it is, as I said, now gone. http://www.tcdailyplanet.net/news/2006/05/24/end-era-little-jacks-closes-its-doors
Little Jack's is not to be confused with Jax, which is in roughly the same neighborhood and still doing well. Many people think it is terrific. I've taken guest speakers there, and found the food, and especially the service, to be uneven. http://www.jaxcafe.com/
Mancini's Char House in St. Paul is another fixture. I wanted to love it, but I didn't. The atmosphere is great, but the food . . . not so much. http://www.mancinis.com/
When I go back "home" to Indianapolis, I always try to go to Murphy's. It's both a bar and a steakhouse, very informal with a real neighborhood feel, not far from the Indiana State Fairgrounds. I've enjoyed it for years. I like their steak, but the "star" on the menu, for me, is the fried lobster. http://indiana-steakhouse.com/