I'm not sure if this is exactly the same, but many of Bring Back Birdie's songs are essentially nods to songs from the original. "Movin' Out" is an updated "Telephone Hour", and so on.
Also weird, but I'm pretty sure Adolpho's "WhaAAAAt?" in Drowsy is the same specific phrase and emphasis as a character in Dames at Sea.
Is "Deep in the Darkest Night" (or whatever it's called) from Dracula a nod to "Into the Fire" from Scarlet Pimpernel? Hmmm.
"Born to Entertain" from Ruthless is a semi- nod to "Let Me Entertain You" from Gypsy. Also "I Want the Girl is a nod to "All I Need Is The Girl", obviously. And a lot of musicals are referenced by name is songs from Ruthless too.
I feel like the nods come constantly in musicals like [title of show], Ruthless, The Producers, Urinetown, Spamalot, etc.
[title of show] on Broadway. it's time. believe.