If you liked
Seireitsukai no Blade Dance
|
...then you might like
Rakudai Kishi no Cavalry
|
Both of these series take place in an academy and have a red-haired girl as the main character. Lots of females are present in the cast as well. Both of these series also contain "failed" characters. Claire from Blade Dance is a former noble who has had her reputation ruined, and Ikki from Cavalry is an F-rank knight.
If you liked
Shakugan no Shana
|
...then you might like
Kyoukai no Rinne
|
Both are supernatural anime with a very normal protagonist who meets someone with red hair who looks human, but isn't. (Well, Rinne is half-human...) Both also involve the red-haired character battling supernatural enemies. Kyoukai no Rinne is more lighthearted, while Shakugan no Shana seems to get more serious.
If you liked
Madan no Ou to Vanadis
|
...then you might like
Arslan Senki (TV)
|
Both contain battles with large armies and have war as a major theme.
If you liked
Akatsuki no Yona
|
...then you might like
Arslan Senki (TV)
|
Kind, young, and also weak royalty goes on a journey with a protector. They grow stronger along the way and make friends that help them. They are also both trying to escape their enemies