Battlecruisers were used by the Daleks (TV: Destiny of the Daleks) and the Draconians. (COMIC: Star Tigers)
Glune Fex Fize Sharlaveer-Slam Slitheen planned to buy a fleet of battlecruisers, return to Raxacoricofallapatorius and smite the Grand Council. The Slitheen were unable to do this when Glune was killed and his plan to strip Sol of its energy failed. (TV: Revenge of the Slitheen)