Jimmy's opened about a month ago at the corner of Foster and Lincoln (just down the street from me) and I finally got around to trying them out yesterday. They do NYC style pizzas, and I'll admit that I don't know a lot about that style, so I can't speak to authenticity, but the pizza was definitely good. I tried the white pie (mozzarella, garlic, olive oil, ricotta) and it was really good. My daughter enjoyed her sausage slice as well - enough so that she didn't let me try a bite. They sell individual slices or you can order a whole pizza for carryout - no delivery. I had a slight complaint that they didn't have a lot of variety in they by the slice options when I was there - the white pie, a plain cheese, a sausage and a pepperoni - but then again, it was a Sunday night, so they might have more variety at other times. (Mostly this is a slight complaint because their toppings list is fairly diverse, so it would have been nice to see a more interesting option, but really this is a minor quibble.)
They also have really really good beignets - light and airy inside, with just a little bit of chew to the exterior. These are definitely the best beignets I've had in Chicago and I'd come back just for them, even if the pizza wasn't good - luckily they're both good. And the beignets are available all day, not just at breakfast.
Jimmy's Pizza Cafe
5159 N Lincoln Ave