Angel Beats (13 episodes) is an anime about a boy who wakes up and finds out he's dead and in the afterlife. He and a group of students work against an entity known as "Angel" to keep themselves from passing on.
Saint Young Men (2 episodes) is about Jesus and Buddha living in the world as they enjoy a vacation from their normal duties.
One Punch Man (12 episodes) is an anime about a man who can defeat any of his foes in one punch.
FLCL (6 episodes) is an anime about a boy who gets run over, hit in the head with a bass guitar, and robots begin to periodically spew from his head. This series can get a little sexual in nature at times due to it's themes (maturity, sexuality, puberty) so if that makes you uncomfortable it's best to leave this one alone.
Konosuba (12 episodes) is an anime about a guy who dies, and in the afterlife he's given the choice of going to a fantasy world in a chance of reincarnation. It pokes a lot of fun at traditional RPG tropes. This anime is also fairly sexual, so again, avoid if it makes you uncomfortable.