Of the three or so neapolitan pizza joints in Minneapolis (Punch Pizza, Black Sheep and Pizza Nea), I think Pizza Nea is probably the best value for your money. Punch Pizza is slightly cheaper, but also slightly lower quality and has less ambience; Black Sheep is about the same price as Nea, and produces higher quality pizza (especially their amazing crusts), but they have smaller portion sizes. Pizza Nea falls right in the middle of that and does a decent job in terms of quality, ambience and portion size.
For one thing, their "marinara" pizza (which comes without cheese and is vegan by default) is less than $7 and it's actually quite large. The sauce and toppings are all good quality and adding individual toppings is cheaper here than at Punch or Black Sheep.
I had a marinara with roasted red peppers and porcini mushrooms (~$10). It was a good, full meal. The crust is not as thin and perfectionist as at Black Sheep, but it's crisper and not as chewy and doughy as Punch Pizza's crusts. It also was not as charcoal-burnt as Punch's tend to get in certain spots.
The service was friendly and prompt. I like the atmosphere in the joint which feels like an upscale, but unpretentious, neighborhood hangout. You could have a beer with friends, or a romantic evening at Pizza Nea. All in all, this is a good place and holds its own against the competition.