 If you liked
Natsume Yuujinchou
|
 ...then you might like
Gakuen Babysitters
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They both have a similar calming feeling where the main character doesn't like to cause trouble for those around him. They both have to take care of a child (or in this case an annoying old cat) and end up in weird circumstances because of it, and they both have the new story every chapter kind of feeling to them.