Agree that Niche, Farmhaus (not a JBF winner, but one of the F&W best new chefs), and Sidney Street Cafe are the top for fine dining. I would also put Monarch in that category though when the chef is in the kitchen and can do a tasting menu. Other options worth looking into are Five Bistro, The Crossing and Harvest.
Do not waste any time trying "St Louis Style" pizza as few outside of native St. Louisans find it edible. Pi Pizza (deep dish) and The Good Pie (neopolitan) are both good though.
For breakfast, check out Half & Half.
For wine, 33 Wine bar. Cocktails, Taste (f