What are some good (family/kids) anime where I can watch the episodes in any order I please?
What are some good (family/kids) anime I can watch in order order once, but where there are plenty of self-contained story-of-the-week episodes I can rewatch as I please after I finish?
Anime isn't really like that. That's one of its things, is that it has a continuous story from start to finish.
Even stuff like Pokemon has a story that makes more sense if you don't just watch random episodes.
You'd probably have more luck with Western animation, which tends to be episodic.
Chi's Sweet Home they ar 3 min shrts though
Hamtaro I think
Also thy checking the recs for moomin or other shows you think are like that http://myanimelist.net/anime/2150/Tanoshii_Muumin_Ikka/userrecs
Man, Moomin is so good.
Probably one of the comfiest animays ever made.