If you're looking for anime similar to Angel Beats!, you might like these titles. All recommendations are made by Anime-Planet users like you!
Kiba is a wolf, one of the last of his kind, and his dream is to find Paradise in a world torn asunder by war. Cheza, the legendary Flower Girl, can lead him to Paradise, but there are others who desire her, and help from other wolves at his side may not be enough. Driven by his noble spirit, he will not forsake his quest.
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?
When his dream career as a basketball player is shattered due to a severed tendon, Okazaki Tomoya believes that his already depressing life has lost all purpose. To make matters worse, he is plagued by dreams in which he wanders through a land of nothingness. Attending school only through force of habit, Tomoya one day meets a girl called Furukawa Nagisa; and over time, while helping her to reform the school's drama club, Tomoya learns to smile and have fun once more. His dreams have become less dark, as though a ray of hope has appeared; but could there be more to these dreams than there appears to be?
Also, I recommend the rest of the Clannad series (in the scenario that you've already watched Angel Beats!). If you're going to watch the movie, watch the first Clannad anime season first to get the story the best. Both are very touching/moving series while being heart-warming and playful at the same time.
Fifteen-year-old Ichigo Kurosaki is a typical teen with fighting skills, two caring sisters and a special trait: he can see ghosts. However, when Ichigo and his family find themselves under attack by a huge beast, Ichigo discovers that there’s more to the supernatural world than the everyday specter. Vengeful spirits known as Hollows roam the world in search of devouring souls, and Shinigami – soul reapers – work tirelessly to defeat them and guide normal ghosts into a place called Soul Society. Ichigo valiantly fights the Hollow that threatens his sisters, but on the verge of defeat a Shinigami named Rukia gives him her powers, turning him into a Shinigami himself. Ichigo must now adjust to his new life of both vanquishing and saving souls for the sake of Soul Society.
Hope’s Peak Private Academy is a super-exclusive institute that gathers the best and the brightest, provides them with a world-class education, and propels them into any career they wish. At least, that’s what the average student Naegi used to think. Having been accepted into a class of 15 students through a lottery system, the boy quickly comes to learn that Hope’s Peak is no ordinary school. In reality, he and the group find themselves trapped inside and learn that the only way to "graduate" is to murder a fellow student and fool everyone in a trial that determines life or death! Led by the whimsically-cruel, teddy-bear-like Monobear, Naegi and the others must do whatever it takes to escape this bizarre, deadly game.
While there may at first seem a huge discrepancy between these two titles, the two actually share some pretty common ground.
Both series focus upon a group of high schoolers trapped within an atypical high school and their subsequent efforts to uncover an unidentified oppressor as they try to understand their bizarre circumstances. Furthermore, both series similarly include a large cast of distinctly (and perhaps exaggeratedly) eccentric characters who inject comedy into an otherwise dire situation.
While approached in different ways, both series feature a focus upon life and death, and with their similarities in setting and character project a similar tone. If you're a fan of one series you may well like the other.