Special Doctor Who events held on stage or live have included a variety of concerts, stage shows, and conventions. Here are some notable ones:

1. Doctor Who Live: The Monsters Are Coming! (2010): An arena stage show that toured across the UK featuring live-action and special effects based on the TV programme. Wikipedia Link

2. Doctor Who at the Proms: A series of concerts held at the Royal Albert Hall in London as part of the annual BBC Proms concert series. These events featured live performances of Doctor Who music, special appearances by cast members, and visual effects. Fandom Link

   

3. Doctor Who: The Stuff of Legend: A unique, full-cast live recording event to celebrate the 25th anniversary of licensed Doctor Who audio dramas. This event included live foley, multiple roles by actors, Daleks, and more. Cadogan Hall Link

   

4. Official Doctor Who Conventions: These conventions often feature panels with the cast and crew, Q&A sessions, special screenings, and themed exhibitions. Examples include the 50th Anniversary Celebration held at London's Excel in 2013. YouTube Link

5. Radio and Musical Celebrations: Events like "Doctor Who @60: A Musical Celebration" are broadcasted on radio and sometimes filmed for special releases. These showcases often include live orchestral performances of the show's music. BBC Link

6. Doctor Who USA Tour (1986): A promotional tour across the United States, featuring appearances by actors from the show, aimed at promoting Doctor Who to American audiences. BroaDWcast Link

These events illustrate the broad appeal of Doctor Who beyond television, bringing fans together for unique live experiences.