I'm heading to Chicago in July, and here's what I've booked so far mostly gathered from this thread: Girl and the Goat, Topolobampo, Oriole, and *hopefully* Alinea (still waiting for the July seats to be released). If I don't end up getting Alinea, I'm thinking either Acadia, Roister, or Everest (thanks bhrubin!) would be my backup.

It'll be my first time visiting Chicago, so while I can't comment on how good these places are hope they at least give you some ideas!