Not much right near nebco but if your in the area prime 16 and cask republic in downtown new haven are solid choices
It's probably worth mentioning that NEBCO isn't open on Sundays. When you do go, in addition to the aforementioned New Haven recommendations, Delaney's on Whalley in Westville also generally has decent food and a good draft list in the vicinity of the brewery.
Closed today, but Katz's deli is right nearby and really excellent (good reubens!) and the place across the street (blanking on the name) in the building adjacent to the old brewery is pretty good as well. No beer at either place as far as I know though.
Five guys is like 100 yards away, and its awesome when you go there, get your burger and fries and wash it down with some free tasters a couple minutes later.
Delaney's has about 30 taps and is five mins down the road. I would just go down the road to downtown new haven. prime 16, the cask republic, bar, ordinary, the owl shop, rudy's. are all solid spots.
