Addition: a few anime soundtracks, just to make a point that not all anime music is necessarily cheesy cutesy crap
that even I (after all these years) still can't stand. I don't mean even to try to be exhaustive; the selection is personal. https://www.youtube.com/watch?v=_Eb4ONZw01Y
Mahou Shoujo Madoka Magica ED "Magia"
The animation on the ED is rather lackluster, but I just have to add at least one piece from Yuki Kajiura. https://www.youtube.com/watch?v=OM8ODecbuhA
Sayonara Zetsubou-sensei: 1st OP "Hito toshite Jiku ga Bureteiru"
Seeing this opening scene surprised the crap out of everyone when it first aired. No, this is not a r-rated BDSM show. https://www.youtube.com/watch?v=lX-yENHkeMo
K-on! ED "Don't say 'Lazy'"
The voice actresses from the show actually formed a band, producing music as the fictional band within the show. Wrap your head around that..https://www.youtube.com/watch?v=whK7sZacKzA
K-on! Soundtrack "Sweet Bitter Beauty Song"
Released on the same single with "Don't say 'Lazy'" above. I actually wish this song played a bigger role in the anime.https://www.youtube.com/watch?v=WWB01IuMvzA
Suzumiya Haruhi no Yuutsu Soundtrack "God Knows" and "Lost My Music"
Actual anime footage, full versions easily found on YouTube. If you like the song, and if you're bored, take a look at the Russian dub of the scene; in many ways it's superior.https://www.youtube.com/watch?v=AkiNUNC4ZYU
Higurashi on naku koro ni OP, "Higurashi no naku koro ni"
I felt like I was going insane as I repeated the track on the ipod for hours on end when the anime was airing. I shouldn't have done it.https://www.youtube.com/watch?v=soGzGCxW27c
Noir Soundtrack "Salva Nos"
Other than a couple of Latin mistakes such as using "Dominus" instead of proper vocative "Domine", this one used to be my top for a long time. Actually, I think it still is.