We've ordered food for a group of us at work several times from this restaurant. And I've been here three times for carry-out. The restaurant is always clean, employees attentive. Parking can be a challenge at times. The lot is cramped and tiny and easily fills up especially at lunch time.
All in all those of us at work feel the food here is just okay. The ingredients are mediocre. If I could make a comparison for food quality I would compare Venezia's to Pappa John's. It's a few little steps above public school cafeteria food, it will not impress your taste buds but for the price it's a decent value, just don't expect New York deli grade food despite the name.
At work we only go here when we get tired of all the other places we can get delivered. I would suggest you can probably find better in the area of north east Mesa if you look a little online.
While I have no specific complaints about Venezia's it just isn't that great. Everytime we order here we always end up wishing we had ordered elsewhere. I believe this restaurant is designed to appeal to people between the ages of 12-30 years. It's very loud inside.