Aladdin
Aladdin was the title character in the popular fairy tale "Aladdin and His Wonderful Lamp", often adapted into pantomime. Jo Grant played Aladdin in the UNIT staff Christmas panto in the 1970s, with Mike Yates as Widow Twankey and the Doctor as the wicked sorcerer. (NA: Timewyrm: Revelation, No Future)
Minor references
Jo likened Omega's palace to Aladdin's magic cave, while the Doctor made a similar analogy of the singularity to Aladdin's magic lamp. (DW: The Three Doctors)
Behind the Scenes
The fairy tale's most famous version is the Disney film. Jon Pertwee, who was a lifelong fan of cartoons and self-proclaimed expert in animation, named the film the greatest animated movie ever made.
Scott Weinger, who played Aladdin in the Disney franchise, was seriously considered for the role of the Eighth Doctor. The potential casting also had the full support of Jon Pertwee. Frank Welker, who played Abu and Rajah in the film, was considered to voice several aliens in the BBC/Fox version, had Doctor Who (1996) resulted in further episodes.