Talk:Hello! Project Station/@comment-5957495-20161014015010/@comment-26503811-20161014031454

Apparently in Japan those clips are called an eyecatch (アイキャッチ). Unfortunately, by searching "ハロ！ステ  アイキャッチ" on YouTube I can only find compilation videos of Nonaka Miki's as of September 2016, Makino Maria as of February 2016, and Morning Musume saying "okaeri".

However, there is actually a fanmade Japanese site http://konkon.ch/suki/ that lists all of the eyecatches by newest to oldest episodes (公開日順), members (メンバー別), and phrases (フレーズ別). You just click on whatever time and member listed, and the site plays the embed Hello! Project Station episode at that timestamp.