I learned this about Marvin Hamlisch from a trivia question on “Who Wants to be a Millionaire?” and looked up the list at that point, so I semi-vaguely knew the other names (excepting Jonathan Tunick and Scott Rudin, who I hadn’t known before and thus promptly forgot). Pre-Millionaire, the only name I thought I knew was Liza Minelli, and reading the actual information made me realize that hers was an honorary mention – her Grammy was non-competitive, as the Wiki page puts it).
I know that Richard Rogers and Marvin Hamlisch are the only people who won the EGOT and a Pulitzer Prize.
Also, George Bernard Shaw won both the Academy Award and the Nobel Prize (in Literature).
You’re right! I looked it up and her Grammy was for an LP of The Electric Company. And I remember that episode of Rockford! (I feel old…)