A hyperdrive was a method of faster-than-light travel used by several species. Upon activation, the drive propelled the spacecraft into hyperspace.
Galaxy class Starliners such as the Byzantium possessed a hyperdrive. (TV: The Time of Angels)
According to the Sixth Doctor, a Sontaran cruiser's hyperdrive would take it ten or twelve days to make it from Space Station Camera to Earth. (TV: The Two Doctors)
According to Ruslan, Syra was full of every metal required for hyperdrives and nanodrives. (AUDIO: The Sonomancer)
During the Last Great Time War, the Dalek ships that operated in real space utilised hyperdrives. One craft used its drive to jump into the Time Vortex for a moment where it fired a volley at Seratrix's TARDIS, sending it hurtling out of control. (AUDIO: The Innocent)
Mechanoid Interceptors used hyperdrives. (COMIC: Eve of War)
Lupari ships had hyperdrives. Hyperjacking was the process of taking control of a spacecraft's hyperdrive to draw it to a particular place. (TV: Survivors of the Flux)