If you're looking for anime similar to Sore Ike! Anpanman: Kirameke! Ice no Kuni no Vanilla-hime, you might like these titles.
Anpanman finds an odd little girl from outer space. The girl turns out to be Kokin-chan, Dokin-chan's younger sister who came to Earth to play. Moreover, Kokin-chan is a master of fake crying and exploits her skill to get out of the trouble she causes. And her tears have the special power to make anyone whose eyes are touched by them cry without reason.
One day, when Baikinman and co. are at the beach, Horrorman encounters a girl who looks a lot like him, Hora Horako. Horako goes about telling made-up stories to others, including a story about herself being Horrorman's daughter. While Anpanman and friends wonder if it could be true, Horrorman immediately believes her stories, leading to a clash with Baikinman.
Anpanman's friends go see a bubble show performed by Shabondama-hime and her Shabondama Girls, who make exquisite bubbles by playing their flutes. One of the girls, Purun, can't make big bubbles no matter how much she rehearses. She feels inadequate as she goes to retrieve her lost flute, which Creampanda finds and goes to return. Meanwhile Baikinman takes over Shabondama-hime's castle and steals the flutes, using their power to create evil bubbles, and Purun must realize her own importance and save the day with Anpanman's help.