Absolutely. I don’t want to start a bagel war, but for me the best bagels ever are here:
831 3rd Avenue (51st and Third)
New York, NY 10022
As far as lunch, if you still have room after Ess-a-Bagel, what are you looking for and how much do you want to spend? There are a ton of places in that neighborhood.
For starters, you could always sit at the counter at the Oyster Bar in Grand Central and have an oyster stew and a couple of glasses of lager. If you want old-timey NY there’s PJ Clarke’s on Third and 55th, for burgers. But you can find absolutely any cuisine you want within 10 blocks of your meeting.