How old are you? >30, the one in city market is pretty cool. I have only been to a few others, but the city market is best for the game. I usually watch 2-3 games a year there - probably be there myself. If you're under 30, then Gran Faloon on the Plaza (48th/Jeffersonish) is a better place to be. It's a younger crowd, and a blast for games. The owner of Minsky's will probably be sitting at the bar at the Faloon. I see him in there quite a bit. If you're in south KC - Callahan's on 87th street is probably the best place.
You'll want to be there well in advance at all these places. Even for 11:00 game.
The food at Minsky's is pretty great. Not a huge fan of the pizza sauce, but they load up the toppings. I always go w/ a Papa Minsky's.