If you're looking for anime similar to Touhou Niji Sousaku Doujin Anime: Musou Kakyou, you might like these titles.
Meet Mayu. She's a cat god, but because she couldn't stop getting in trouble, she's been cast down from the heavens and is now doomed to suffer on Earth! Oh, no! But then, one day, she is taken in by the earnest and kind Yuzu, who owns an antiques shop called Antiques Unlimited. As Yuzu is quick to learn, Mayu's laziness knows no bounds. She'd rather play video games than turn over a new leaf. The everyday tales of this cat god and her harrowing adventures to the candy shop, a landfill, and a beach resort show Mayu and her friends that sometimes, the simplest things in life are the best. There is also Gonta, who is obsessed with Yuzu, but Mayu wanted his role in this summary to be minimal. So there you have it.
Nekogami and Touhou are practically the same series but with different names. If you took some of the characters in Nekogami and replaced them with Touhou names (or vice versa), you'd get the same effect. For example, take a laid-back person like Mayu and you'll instantly see that she behaves like Reimu. These kinds of similarities happen with pretty much every character.
Both shows follow a group of friends' life and how their personalities help or hinder each other. Their lives are mainly made up of random incidents that they must resolve. Although there aren't any crazy random danmaku battles in Nekogami or gods with divine powers in Touhou, they're both full of silly antics that will remind you of the other.