If you're looking for manga similar to Sore Ike! Anpanman: Kirameke! Ice no Kuni no Vanilla-hime, you might like these titles.
Meet Lycopene. A tomatoy poodle. Wait! Hold up. A...what?! Apparently a tomatoy poodle is poodle born from a tomato plant. Meet Meh-Meh, a normal schoolgirl, who finds herself lost in Cuteopia, a strange world inhabited by strange creatures like Lycopene.
Calico Tapio Chatorazawa, who's got more energy than anyone, Russian Blue Kuehiko Roshihara's a bit of a sourpuss. These two classmates will do all kinds of different jobs to learn how fun and hard it is to work!
One afternoon on her way home from school, Haru saves a cat from getting run over by a truck and promptly gets the shock of her life when it stands on its hind legs to thank her. That night, she is greeted by a parade of felines who inform Haru that her earlier heroics saved the prince of the Cat Kingdom. Haru suddenly finds herself inundated with gifts of mice and catnip as means of thanks, culminating in the announcement that she will be taken to their kingdom to marry the prince. With no desire to marry Prince Lune, Haru turns to The Baron and Muta from the Cat Bureau for help, but unable to stop them, Haru is swept away by a horde of cats. Can Haru prevent this marriage of inconvenience and return home before she becomes a cat herself?