OMG, there's LOADS of places.
Depending on where your friend lives:
City Centre:
The Conservatory (pub under Austin Reed opposite Superdrug)
The Adelphi (Water Street)
Bibi's (pricey but awesome Italian by the train station)
Piccolino (Park St) - Italian
Living Room (Greek St)
Headingley:
Citrus (North Lane) - good restaurant but cheap as you like
Salvo's (Otley Rd) - Italian, lunch menu is pretty reasonable, won The F Word last year
Arcadia, (Otley Rd) standard pub fare but good
Chapel Allerton:
Salsa Mexicana, Harrogate Rd
Casa Mia Pizzeria, just off Harrogate Rd (stay away from Casa Mia Grande)
Roundhay:
Roundhay Fox (Park Rd) - busy pub right by the park - and Tropical World!
I could go on and on - where does your friend live? What do you like to eat? How much do you want to spend?