Alesci's is sort of an instition for local Italians.
It's really just an Italian grocery store that also offers catering services. I'm not a fan of their catering or prepared foods, otherwise I'd tack on another star.
Very large deli selection with all of your typical dago fare. Lots of different meats, cheeses, sausages, peppers, and OLIVES!!!! (sorry, I got excited - I love olives!) Their bread is pretty good. I could probably eat a whole loaf of it in one sitting. They also sell dough for bread or pizza making purposes if you're not Italian enough / too lazy to make your own.
There is another location in Willowick that I go to more often. However, I'm not so sure that location offers catering services.