First of all, I'm no expert. I'm just a guy from the New Haven area looking for what I consider to be the best pizza on the planet. Speaking of which I just visited Lombardi's in NYC who, according to Zagat's is the best pizza on the planet.
At any rate, I was excited to test Luigi's pizza, but was not floored...I found the crust a bit doughy and thicker than I prefer. The sauce was not particularly memorable, nor was the cheese. I think it might be time for a second visit. I feel badly that it didn't match up to what I was hoping for because the owner if a friend of mine. I will give them another chance.
Bronx has been a reliable place for really good New York style pizza. I found nothing better in San Diego to approximate Wooster Street/New Haven pizza than Urbn Pizza owned by a Connecticut transplant, Jon Mangini. He does a great job of recreating the pizza as well as all the atomosphere, up to and including carrying Foxon Park Soda-Birch Beer in particular. MMMMmmmm.