Kamisama Minarai: Himitsu no Cocotama

Both revolve around the adventures of a brown-haired elementary schooler's pets while she is at school, and have an orange hamster-like pet, a shy girl character who wears a bow and a playhouse where the pets live in. 

Both feature the mundane adventures of a bunch of cute, colorful creatures, who live with a human girl. There's even a tsundere sort-of-enemy one, and both human families have a pet cat. Main difference is that the Cocotama have to be kept a secret from the rest of the world while the general populous seems to know about the Punirunes.