I was going to make my own topic regarding this very topic as a “spin-off” to the Top Anime Intros thread. As I was making it, this thread popped up suggesting that there was already a topic about it. I’m going to pull some of the ones from the “Top Anime Intros” thread (that don’t really fall under that category, IMO) and bring them here. Along with linking the sources of already suggested shows. Then, I’ll suggest newer ones that nobody has said between the two threads.
I up this with a Gargoyles Theme Song without the Narration. Yes, I prefer the theme song without the narration, sorry 
Crediting this person for saying it, first, but they never linked it, so I will: Link to one of the iterations of it.
Link to one of the iterations of it
My own contributions (and can’t believe they haven’t been mentioned yet, in either thread 
):
- The Real Adventures of Jonny Quest Intro - IK nothing of this show. Just always thought it had a really awesome intro. It’s all IK about it LOL
- Justice League Animated Series Intro
- Stargate Atlantis S2 Intro
- Battlestar Galatica - One of the Iterations of it
- Angel One of the Iterations
- CSI: Miami S4-6 Intro
- Fresh Prince of Bel-Air Intro
- Criminal Minds S1-S15 Intro
I can understand why these weren’t mentioned 'cause these are more of my preferences 
- Fairly Oddparents Intro
- Kim Possible Intro
- Hey Arnold Intro
- CatDog Intro
- Pinky and the Brain Intro
- Daria Intro - I can only find this really bad version of it.
- Sister, Sister S5-S6 Intro
- Mighty Morphin Power Rangers S1 Intro
- Tiny Toon Adventures Intro
- CSI: NY S1 Intro & S5 Intro
- Rocko’s Modern Life Intro
- Animaniacs Intro
- Forensic Files Intro
That’s all I got, so far.