If you're looking for anime similar to Sore Ike! Anpanman: Kirameke! Ice no Kuni no Vanilla-hime, you might like these titles.
Baikinman is snatched by a black cloud inhabited by a princess who loves black, Kuroyukihime. She is immediately thrilled with him and starts making trouble with him, turning everything black. However, both Dokin-chan and Anpanman are determined to stop her.
Happy, a young resident of Dodeka Tree, is always bullied and called weak. He seeks out his idol Anpanman and asks him to teach him and help him become strong. When Anpanman spends his days helping people in need rather than fighting bad guys, Happy loses his faith in him. This offers Baikinman an opportunity to step in and wreak havoc with Dr. Hiyari's new creation, a gluttonous maggot Gringa.
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.