Who has an EGOT?
As with any rarified honor, it's actually a relatively short list of 15 people total. Seven of them have been musicians, which makes sense given that writing songs is arguably the easiest way to get recognition by all four organizations. (Tracy Jordan also learns this and tries to record a very bad track.) The composer EGOT-ers are musical theater legend Richard Rogers, A Chorus Line's Marvin Hamlisch, Cats impresario Andrew Lloyd Webber, orchestrator Jonathan Tunick, lyricist Tim Rice, Frozen's Robert Lopez (who, like Whoopi, completed his via a Daytime Emmy), and last but not least, John Legend. Legend actually won his Emmy and Tony for producing, respectively, Jesus Christ Superstar Live in Concert and the revival of August Wilson's play Jitney. Whoopi Goldberg also completed her EGOT in that fashion: with a theater producing credit.
Actors who have obtained the honor include Helen Hayes, Rita Moreno, John Gielgud, and Audrey Hepburn. (Hepburn won her posthumous Emmy for a garden tour series.) Multi-hyphenates Mel Brooks and Mike Nichols won for a variety of endeavors over their careers in comedy and in behind-the-scenes pursuits. Finally, master producer Scott Rudin has crossed the finish line in puppet-master fashion, pulling the strings behind a variety of productions.
There's also a whole group of entertainers who've won what's viewed as an honorary EGOT, meaning that one or more of the awards came via a lifetime achievement-type award. There are some heavy-hitters who fall into this category, including Barbra Streisand, James Earl Jones, and Alan Menken.