Arslan Senki (TV), Akagami no Shirayuki-hime Recommendations
Both anime follow a prince and are historical. If you enjoyed some of the conflicts that Zen had to deal with in Akagami no Shirayuki-hime then you would enjoy Arslan Senki. Also the art style is similar.
These two animes are nothing alike but Zen IS Arslan in 4 years. They look and act exactly the same, and they're both princes with an unfortunate family situation. Past that, the shows are completely different. One is a slice of life shoujo romance and the other is full of action, large scale battles, political scheming, and violence.
Arslan Senki is basically Akagami no Shirayuki-hime but you take out Shirayuki and the romance.
Both animes main protagonist experiences events that strengthen their resolve for their royalty and both Zen and Arslan have loyal companions that they adventure with.
The only difference being that Arslan Senki looks at the war side of that time and Shirayuki-hime focuses on the political and romance side with much less actions scenes and more relaxing setting.