Shows with an always watch intro?

The expanse

What We Do In The Shadows

Gravity Falls

Doctor Who, Bob's Burgers, Futurama, Dexter, Game of Thrones, Rick and Morty, Solar Opposites, King of the Hill, Archer

I'm sure there's more.

Psych, bonus points if it's the extended intro.

Buffy the vampire slayer

Cowboy Bebop, Peaky Blinders for the song alone

Ones not mentioned

Game of Thrones Preacher Orange is the New Black Daredevil The Left Overs Madmen Freaks and Geeks

Archer Arcane X-Men Teen Titans

Bojack Horseman

Any show with a cold open and Cheers, which also often had a cold open. Watching a Cheers cold open featuring Coach followed by the theme makes me feel (for a little bit) like a child and everything is going to be okay.

The wire

(Written by Tom Waits)

Each season had a different version

https://en.m.wikipedia.org/wiki/Way_Down_in_the_Hole

A different recording was used each season. Versions, in series order, were recorded by The Blind Boys of Alabama, Tom Waits, The Neville Brothers, DoMaJe, and Steve Earle. Season four's version, performed by the Baltimore teenagers Ivan Ashford, Markel Steele, Cameron Brown, Tariq Al-Sabir and Avery Bargasse, was arranged and recorded specifically for the show.[4]

Final season of Attack on Titan. "Rumbling, Rumbling...it's coming, Rumbling!"

Redwall, Poirot, Ghost in the Shell, The Avengers

Bob's Burgers

MASH

Please Like Me

Bad Monkey
\ Star Trek Brave New Worlds
\ Peacemaker

Dexter

Knight Rider. The world needs an anime reboot that leans into the vibe of that opening.

Elementary's intro had great music and a nice sequence.

House MD (mostly for the non-Teardrop music version)

Swat Kats

Dexter's Laboratory

Batman: The Animated Series

Breaking bad's intro is great because it's short.

taskmaster

Bosch

The Triumverate.

First because I could listen to Jeremy Irons read the phone book, and second because each intro is funny and unique.

Rawhide

Stardust crusaders (JoJo's bizarre adventure S2&3) because it's cool AND they do something really neat with it (It's related to the plot so I'm trying to avoid saying too much)