soul healing anime
Sweetness and Lightning - Father Daughter wholesome.
Barakamon - similar
Mushishi - mystery solving with ancient spirituality twists
Aria - the anime that defined cozy shows. Absolutely nothing happens and it's perfect that way.
Flying Witch - Cozy everyday life as a witch
I don't know if any of these truly meet "consistent plot" though. Story driven stuff requires character arcs which usually don't conform well to "soul healing" shows because stories require drama and twists.