If you're looking for anime similar to Damekko Doubutsu, you might like these titles. All recommendations are made by Anime-Planet users like you!
Ayumi, Kei, Koyoi, Rika and Nao are five middle school friends whose hot topic of conversation is, as always, love. Ayumi dreams of having a boy confess to her and can't understand the idea that receiving unwanted confessions can be troublesome. She even believes that she will happily accept any guy who approaches her - that is, until she receives a love letter from Misao, a large, delinquent high school boy whose very presence makes small children cry! Not wanting to date him but too scared to reject him, Ayumi has no idea what to do, especially when Misao, now nicknamed Beast-kun by the girls, begins following her to and from school. To make matters worse, Ayumi then falls for Mamoru, a boy in her class who is Beast-kun's brother! With plenty of experiences in life and love left ahead, will the girls retain their naive beliefs, or is it time to shake off that brother complex and realize that appearances aren't everything?
One day, a young kitten was on a walk with her mother and siblings; but soon she became separated from her kin. Struggling to find her way home, the kitten soon ran into a young boy named Yohei and his mother; and out of pity, the duo takes the kitten home with them. Unfortunately they discover that they are unable to keep pets in their home, and thus begin a quest to find her a new place to live. From playing with shoelaces to being washed, the cute kitten named Chi will have fun and get to know her new family – though all she really wants is to make it home to her feline mother.
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.
If you like one of these you will probably enjoy the other. Both revolve around creatures that look like animals and it focuses on the antics of them. A lot of the character types are similar between the 2 shows and the characters quite often find themselves in strange situations.
As I watch these shows I can't help but think of the other.