There are so many great restaurants in the River Market, and I think that each has its own special time and place. For example, Sunday brunch and Wednesday night are definitely Succotash-worthy. Cafe Al Dente is a great for those nights when you just can't cook. Vivace is a nicer restaurant and the perfect place to take out-of-town guests so you can impress with the ice bar.
I haven't included all of the restaurants in the River Market, just the ones we frequent on a weekly basis. Let me know your favorite. Obviously, not limited to Kansas Citians, even if you've visited (family), what has been your favorite?