I've heard a lot of good things about Best Bagel & Coffee on 35th b/w 7 & 8 - probably a good chance for a tasty bagel and/or NY breakfast sammich/deli experience.
The thing with Pizza is 80% of the places on the street are going to have pretty solid pizza, as in probably some of the best "inexpensive" parlor style pizza in most towns in the Country. The other 20% might be too doughy or something, but even they have to be decent to stay around in NY. So if you are hungry and need a quick bite, find a pizza spot or do a quick yelp to find an ok spot (within like 2 blocks of wherever you are) and you'll be good. If you want to hunt some down, I'll let others pick apart the best options.
Not far from you on 51st b/w 8 & 9 is the second location of Ippudo Ramen - still the best Ramen I've had in the States, if it's not too hot (and their other food is great too... but dammit, get their ramen).
Finally, if you want Italian, old school, authentic experience, I found this place Mercato on 39th and 9th, but the tunnel. It was AWESOME. Total throwback to restaurants that can no longer afford rent in NY. Reasonable pricess (upper teens, low 20's, maybe a couple options pushed 30), waiters who spoke Italian better than (still plenty good) english. Small place, real authentic "old school" vibe that I miss with all the chef driven, concept minded foodie oriented stuff we have. This was just flat out great food and an awesome overall experience.