What an excellent topic. When I'm watching a movie or show, I frequently have the Shazam app open, especially if there's a terrific score! I've discovered so much wonderful music through TV and movies.
Off the top of my head, and in no particular order of favorites -
1. Transparent Theme (Prime Show) Music by Dustin O'Halloran
2. Ramy Theme (Hulu Show) Music by Hany Shenouda & El Masyreen Band
3. Shape of My Heart (The Professional movie) Music by Sting
4. Gotta Get Up (Russian Doll theme) Music by Harry Nilsson
5. Love Theme from Cousins (Movie "Cousins") Music by Angelo Badalamenti
6. Tezeta Nostalgia (discovered from the show The Bear) Music by Mulatu Astatke
Love this question!
There are so many to choose from, but here are a few of my favorite theme songs from TV shows that are instantly recognizable to me:
Cold Little Heart by Michael Kiwanuka (HBO's Big Little Lies)
I was totally a Disney kid and there were some great opening songs for their tv shows. One of my favorites is: The Proud Family Theme Song by Solange (Disney's The Proud Family)
I Don't Want to Wait by Paula Cole (Dawson's Creek)