It isn't exactly a playlist for lights and sirens, but I once made a playlist for running psychiatric transfers with a private ambulance company.
The name of the playlist is "Full Moon Fever" and contains the following songs:
You're Crazy - Guns n' Roses (from Appetite for Destruction)
Lost Yo Mind - Beyoncé
Crazy Train - Ozzy Osbourne
She Drives Me Crazy - Fine Young Cannibals
Crazy - Seal
Stone Cold Crazy - Queen
Crazy World - Scorpions
Brain Damage - Pink Floyd
Psycho - Puddle of Mudd
You're Crazy - Guns n' Roses (from GNR Lies, a very different version from the other version)
Stone Cole Crazy - Metallica
The Loco-Motion - Grand Funk Railroad (not strictly about being crazy, but they say "loco" in it a lot)
I Wanna Be Sedated - Ramones
Welcome Home (Sanitarium) - Metallica
Lunatic Fringe - Red Rider
Crazy - Aerosmith
Psycho Man - Ozzy Osbourne
Crazy - Gnarls Barkley
Crazy B*tch - Buckcherry
...and the absolute best song for teenage girls who attempted suicide: If You Don't Love Me (I'll Kill Myself), by Pete Droge
For the record, I never actually played this playlist with a psychiatric patient on board.