It is rather a soviet canteen than a cafe or fast-food. We do not recommend you to eat there unless you are very hungry and happened to be nearby. There was a nice interior In Kulemet (Pulemet - russian) on Sumskaya while in the both places they have awful service and bad food which is often cold and you need to ask your waitress to warm it all up. But (!) there is hookah :)
Puzata Khata
Ukrainian national cuisine
Potato House
24X7 Fast food in american style.
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.