A good place to eat if you are limited in time. They have meals of Ukrianian national cuisine like vareniki, blini, sirniki etc. The food is tasty and prices are low. There are three floors inside, the food is on the first. On the second and third ones you can buy beer and snacks, coffee/tea/juice and cakes. The interior is Ukrainian traditional, even waitresses are wearing Ukrainian clothes and speak mostly Ukrainian. The name of the place absolutely displays its main idea - "puzata" in Ukrainian means "fat", or "with a big belly", and "khata" is a Ukrainian house. Ukrainians used to eat a lot of greasy food therefore they used to have "big bellies", being "puzati" :)
Potato House
24X7 Fast food in american style.
Kulemet
A soviet canteen
Khachapurnaya
The best khachapuri detected!
Bufet
A favorite pizza and fast food place of students and people with limited income.
Koniky
Not that bad. Not that good.
Zhyli-byli
A typical fast-food in the center of Kharkov
Faina Yidalnia
"Faina Yidalnia" means "nice canteen"
Pirozhkovaya on Sumskaya 46
Paris has its famous café "Le Rotonde" where French artistic circles of XX century used to gather together. Kharkov has something to brag about too.