Iconic pastrami. It's a traditional grab a ticket style deli where they assemble your order in front of you and you grab your own table. As mentioned before, it can get packed, so try to go either earlier in the day or just not in the middle of peak dinner hours and you should be okay (especially on weekdays).
A sitdown pizza place that is well known for its tie dye pizza. This one also can be hard to get a table at, but it's also in Nolita which has a ton of other great Italian options right next door. As with Katz, your best bet is either lunch hours or non-peak dinner hours on weekdays.
A sit-down Ukranian restaurant that sells pierogis, borscht, stuffed cabbage and a bunch of other stuff. I usually get the deluxe meat plate. This one usually not too bad of a wait and can accommodate larger tables.
A grab-and-go slice shop known for its pepperoni spicy vodka squares
This one pretty frequently appears on the list of best burgers in NYC
Great pizza! Line can be long, but moves pretty fast.
Another pizza shop, but recommend the squares! Hot honey pepperoni <3
Local-favorite Philly-style sandwiches.
Jewish deli + classic NY breakfast with pastrami, lox, whitefish, and egg sandwiches.
This is right by the reception venue situated at the site of an old Domino Sugar factory
This is where all of those pictures you've probably seen of the Brooklyn Bridge are taken. There are a decent number of good restaurants in the area as well.
To get here, you can either cab or subway to the ferry at Battery Park. On that note, food options around the Battery Park area are a little sparse, so I would plan to eat in a different area before or after.