Kid friendly lunch for foodies
I have taken infants/toddlers to all McGrumpy's suggestions except Ai Fiori with no problem. Would also add:
Any other Danny Meyer place (North End Grill, Gramercy Tavern - either room should be fine at lunch)
Minetta Tavern (Lunch or Brunch would be fine)
Batali Places - Lupa/Otto definitiely work, Babbo probably okay for lunch as well (have done with 6 month old)
Have done all of the above as well - the problem with anything more high-end (including Bouley lunch) is that a longer, multi-course meal is hard with a toddler.