molten cheese, grilled meat with tomato sauce all placed on a thin layer of dough is quite fatty...
It's not wether you eat fattish food or not, it's how and the amount you eat. You can eat a mcDonalds burger wich isn't btw as fatty as ppl believe (at least those in belgium). As long you don't eat to much of them, and balance it by eating less fatty food the same day to compensate. You won't get fat from eating Burgers, you'll get fat from eating burgers and pizza and deepfried chicken and döner...