 If you liked
Groove Adventure Rave
|
 ...then you might like
Zetsuen no Tempest
|
Zetsuen no Tempest anime is similar to Rave (MANGA) regarding those time travels especially the epic Seighart moment which is only shown in the manga of Rave. I can't compare manga to manga as I haven't read the manga of Zetsuen no Tempest so there you have it, but upon reading some news/discussions that the anime of Zetsuen no Tempest is faithful to the manga except the ending is slightly different then it could be assumed the same.