Bagels 4 U in Kenilworth has the best bagels I've ever had. I also like Manhattan Bagel, in Union in particular, and Bagel Chateau in Westfield.
The Linwood Inn in Linden has some of the best pizza I've ever had, as well. Their plain is best but they have other good pies too. They also have great burgers. Big Apple Pizza in Kenilworth has really good specialty pies, like barbecue chicken, but their plain pizzas and more simple ones are just average.