If you liked the Angel Beats! anime, the Anime-Planet community thinks you'd like:
Once there lived an eccentric author called Drosselmeyer who wrote grand tragedies - one of them was the tale of a prince who sealed away an evil raven by breaking his own heart into tiny pieces. However, before the story could be completed, the author died and the tale took on a life of its own. Now, in a town where fiction and reality meet, the story continues on its tragic course with Ahiru, a duck who transforms into the beautiful Princess Tutu in order to restore the prince's heart. But will Ahiru's act of love be enough to defy the story's terrible destiny and lead to a happy ending?
These two shows are pretty different in terms of genre, but they both feature comedy mixed with drama, and both ask questions about fate and feature characters loaded down by their pasts and a couple that might not be able to be together because of their nature. In the end I think these two shows come to two very different conclusions about the questions they pose, but they're still interesting to compare, so I think fans of one will enjoy the other if they give it a try.
Fifteen-year-old Tsukune Aono is average in every way; he has no hobbies, less-than-stellar grades and he's even flunked his high school entrance exam. His parents have managed to enroll him in a school, but it's no ordinary school! Tsukune will be attending the Youkai Academy, a place where monsters learn how to co-exist with humans! As the werewolves, vampires, witches and other monsters are required to retain their human forms, Tsukune - the lone human - is able to avoid their bloodthirsty gazes. However, he quickly attracts the attention of a number of devilish beauties including the vampire Moka, a busty succubus and even a young witch! It seems Tsukune's average life isn't so average anymore!
Maya Kumashiro is an uptight teenager who has returned to the Waldstein “Occult Academy” following her father’s death to assume his role as principal. With a hatred of the supernatural, she initially intends to run the school into the ground, but her plans are thrown into chaos when a new teacher, Minoru Abe, descends from the sky. Claiming to be a time agent, Abe informs Maya that he has been sent from the future to prevent the Nostradamus prophecies from coming to pass. With a rift to another dimension due to open at the Waldstein Academy that will lead to aliens conquering the earth, the unlikely pair must locate a mysterious object known as the Nostradamus Key and destroy it before humanity falls prey to the occult once and for all.
While Occult Academy includes a larger variety of supernatual things and Angel Beats! tending to focus soley on the aspect of the afterlife both series share much in the same of comedy, action, and somewhat similarity in characters. With the humor of either series taking up most of the episodes both series include a good amount of action that will at times really add to either series and both feature some interesting plot twists.
Kaede is a devoted high school student who lives with her adopted brother Rin. She holds a quiet confidence that one day, when Rin finally starts showing interest in sex, he will make the obvious choice and turn to his loving sister. But what Kaede wasn’t counting on was the lords of heaven and hell coming to Earth, wanting Rin to mate with their nubile daughters! Rin, like any teenager would, takes full advantage of his newly acquired harem; but how long can he keep up his carefree, boxed-lunches-on-the-rooftop lifestyle, as the horde of girls on his tail grows?
Morimiya Yorito is a normal student who has an abnormal obsession for the sky. One day, he meets a strange girl named Shihou Matsuri who shares his interest, but as fate may have it, she isn't a human; Matsuri is a Yaka -- a "woe of the night" -- who is immortal and cannot stand the sunlight. A strange man is chasing Matsuri, to use her powers, so Yorito decides to help her hide. What are the strange man's plans, and what secrets does Yorito's sister hide?
The storyline of both sola and Angel Beats! rely on male protagonists with memory issues and powerful female leads with hidden agendas. Add to that the mystery and death which surrounds both anime and you have a winning combination for why if you like one you will like the other.