Yes, any Samuel Smiths pub, such as the Brown Bear in the city centre or the Old Mother Redcap at Bradway - around £1.30 for a pint of Old Brewery Bitter, or around £1.40 a pint for Ayingerbrau lager.
Classic Rock Bar on Ecclesall Road is £1.50 a pint for the handpulled ales.
All the Wetherspoons outlets - City Centre there is Bankers Draft, JD Wetherspoons, Lloyds No1 and Swim Inn, or the Woodseats Palace on Woodseats.
The Kelham Island Tavern on Russel Street whilst not dirt cheap has very reasonable prices, in the region of about £1.80 a pint.
If you go in the Fountain, Graduate or Old Monk try the handpulled Abbeydale beers - they always seem to be cheaper than any of the other ale or lager in the pub!