 If you liked
Noein: Mou Hitori no Kimi e
|
 ...then you might like
Mahou Shoujo Madoka★Magica
|
Multiple futures and a person who seek the best variant of future, for saving the life of his(her) dear friend. People with 'magically' changed bodies, that gives them superpowers and ability to tough battles. The 'special dimensions' for battle (in Madoka - witch universes, in Noein - stopped time). Preventing of apocalypse (though the causes of it is pretty different). Young girl as 'living key' to great power and changing the destiny.