The Sound of a Bell Can be Heard (Suzu no Ne ga Kikoeru)

Fantasy series of short stories that involves animals:

Pet Doctor Atsushi Kirishima meets a cat-guy with tail, cat ears and an injured eye when he is searching for his runaway patient animal. Atsushi can not leave the cat-guy and takes the guy to his animal hospital with him.

Hattori, an apprentice of Atsushi's father, Kenzou finds a dog in the mountains and brings it back in a car. On the way home the dog changes into a girl.

The titles stories are:

The Sounds of a Bell Can Be Heard

The Cat's Love

A Flicker of Light (two parts)

Amber's Diary (also known as Kohaku's Diary)

The Delicate Pair (also known as Every Subtlety)

(Black Cat + White Dog) > Human

Trouble Little Traveler

A cute unrelated shoujo short story about a boy meeting tiny aliens.