Here is the only laundromat I found (actually my friend found) which does regular washing beside dry cleaning. In USA, laundromats are everywhere,  but good luck finding such in Sarajevo. 

I moved into this apartment in Koševko Brdo which did not have a washing machine. So for a few months, i had to hand wash my clothes. After  a month, my friend found this laundromat near my apartment, on the same street with the big super market, Robot. I dropped of my sheets this morning.  Cost 3KM. (Will post detailed prices later.)

 Hemijska  Čistionica IC
Ciglane, Hakije Kulenovića 30

061 523 016 

Open Mon to Fri from 8 to 22, Sat from 8 to 16.