 If you liked
Scrapped Princess
|
 ...then you might like
Arslan Senki (TV)
|
Both have a prince/princess thrown out of his/her kingdom for a reason and they are protected by their close ones first and then gain some supporters.
Both animes feature medieval settings.
Both animes center a character of royal origin traveling their kingdoms with a band of allies who protect them from their pursuers/people who want them dead.
Both animes are around the same number of episodes.
If you liked one anime, chances are you'll probably like the other too, since they both give a similar feel which may be partly due to the setting.
And the protagonists from both animes undergo some sort of character development, seen more prominently in Arslan Senki than in Scrapped Princess.