Angel Beats!

Summary:
In a world after death, angels fight for their fate and their future. Yuri, the leader of the Shinda Sekai Sensen, rebels against the god who destined her to have an unreasonable life. On the otherhand, Tenshi, the chairperson of the student council for the world after death, battles against the SSS members. SSS members utilize armed weaponry to battle it out against the angels harnessing supernatural powers.

Songs: 
Opening Theme:

"My Soul, Your Beats!" by Lia

#2: "My Soul, Your Beats!" by LiSA (ep 4)

Ending Theme:

"Brave Song" by Aoi Tada

#2: "Ichiban no Takaramono" by LiSA (ep 10)

#3: "Ichiban no Takaramono" by Karuta (ep 13)

Insert song:

"Alchemy" by Girls Dead Monster (marina) (ep 3)

"Crow Song" by Girls Dead Monster (marina) (ep 1)

"My Song" by Girls Dead Monster (marina) (ep 3)

"Shine Days" by Girls Dead Monster (LiSA) (ep 10)

"Thousand Enemies" by Girls Dead Monster (LiSA) (ep 5) 

Related Links:

Official website (Japanese) - http://www.angelbeats.jp/
Wikipedia - http://en.wikipedia.org/wiki/Angel_Beats!
Anime News Network - http://www.animenewsnetwork.com/encyclopedia/anime.php?id=10885