I think if it's an animation focused on the song then it's fine, but if it's an animation where the song adds mood or background, you should try to find some more underground stuff, preferably pulling right here from the portal if you can, because to be honest when I hear something like "Freebird" or "Another One Bites The Dust" come on or whatever, I'm actually distracted from your animation because the song is so iconic, my mind just goes "Ah, here we go..."
Using lesser known licensed is a little different because you're not going to trigger that distraction mechanism when a song I know comes on.
ALLLLL of it is fine as long as you give credit, but for the QUALITY of your piece, my personal taste is to go for something which someone probably hasn't heard before because it'll be that many less ears getting distracted from YOUR actual content as well as helping promote someone else's creation and spreading the wealth.
Just me, though.
beerbird
Taking music (Licensed or not) without giving it proper credit is wrong.
But if you do give it proper credits it sounds fine to me.
aggimajera
Ah, of course! I did forget to mention that. Credit must be given where it is due, and I abide with that always. I will be sure to put that in the original post. Thanks for the reminder!