No doubt that for a relaxed but never boring "pizza and fries night", the place to go is Bar Cento. Jonathan Sawyer is Cleveland's best young chef and I can't wait for his new restaurant, Greenhouse Tavern on E. 4th St.
The atmosphere is dark and hip and the music is always well chosen classic rock or house music. Beer and wine lists are extensive and reasonably priced. The menu is relatively small, but doesn't need to be because everything is always good and the menu changes frequently.
I echo the other reviews that hands down, this is the best fries in the city. Rubbed in rosemary and baked garlic cloves, these fries are fantastic so long as you don't plan on kissing on your first date! The portion is generous and they are good cold the next day (though my wife and I call each other out for raiding the refrigerator--there's not hiding the garlic!) The fries are served with a complement of ketchup and a few options of spiked mayo. All of them are great.
The pizza is thin crust and many funky choices for toppings. Most recently my wife and I had a arugula, pine nut, and Gorgonzola. Reasonably priced, big portions, and never disappointing!
As a native Clevelander, I love that much of the produce and protein are local. The back of the menu lists the seasonal ingredients and the producers.
The only disappointment was the Sangria--just order anything else and you're set!