Ginger beer was a favourite drink of the fourth and eighth incarnations of the Doctor. (DW: The Android Invasion, TN: Rip Tide) It was similar to ginger ale, but stronger.

While on what they thought was Earth, the Fourth Doctor offered some 'ginger pop' (another name for ginger beer) to Sarah Jane Smith, but she disliked it. It was because of this dislike he was able to discern the android version of Sarah from the real one. (DW: The Android Invasion)

The tenth incarnation of the Doctor used ginger beer as an ingredient of an antidote for cyanide. (DW: The Unicorn and the Wasp)

Ginger beer seemed to have a strong effect on Time Lord physiology; it reduced the ability to tolerate alcohol. (BFA: The Kingmaker)