Megane-hen(Glasses)/ Kyoukai no Kanata = Beyond the Boundary
A fitting english title. The "new" japanese title is after the OP, obviously.
Anyway, it's about a girl with
a bloody sword glasses. Her name is Mirai Kuriyama.
She's inherited the blood of the most powerful, yet feared and despised clan. For that reason and her past trauma, she dislikes it.
Ikaishi: Spirit world warrior is the word; it's more like spirit hunter but that's a western term.
But as the last of her clan she's by herself and has to get by somehow which comes down to her inherited "business".
Despite being a born warrior she's somewhat clumsy and her phobia gets in her way.
One day she meets our main character, a half-ling of a youmu. Youmu being the same as youma, imho, just cuter sounding.
His power is being immortal, so she starts using him everyday as practice since "He's nothing to lose" in her opinion.
In order to get away from the painful experiences, this and that, and other embarrasments, he decides to help her out.
There are various forces and factions behind the scene that gets in their way. And so begins our heroine's fragile relationship.
The characters aren't new or that interesting by themselves. Although, the often ying & yang like nature of the characters are quite interesting.
You probably have encountered them already in some other anime, though.
So I would say it's the atmosphere and relationships that makes it more interesting. Aside from that it seems a bit literary.
Our main character is a literary club member, hence, the story telling shows that a bit ...as well as his ... liking to girls with glasses.
Although the show isn't one of those fanservicing type it does provide some rather entertaining bits.
And yeah, the actions are worth watching and rather well made.