Lunch options near Lincoln Center
Don't go to Ollie's. Yuck! They're slobs (I refer not to unsanitary practices but lousy dumplings, etc.).
I haven't been to Big Nick's in years, but they strike me as a consistent neighborhood place (burgers et al. plus Greek food, etc. - you can see their very long menu at http://menupages.com/restaurantdetail...), and I think that's a good idea if you want something a sandwich-and-pastry place like Le Pain Quotidien doesn't serve.