I fucking swear this video makes my fujoshi soul take control of my mind lol every time I see this video I feel like reading yaoi again and ofc I LOVE THIS VIDEO GOOD JOB!!!!
They do in fact have an anime. It's called Touken Ranbu Hanamaru. There's also Katsugeki Touken Ranbu but that one only focuses on few of the characters that can be seen in Touken Ranbu Hanamaru