Modern anime the whole family can enjoy. Low on violence and fan service.
Anything with a run time of less than 20 minutes, and has 3 or more episodes is on this list. Including DVD/TV specials for longer run-time shows. The list is ordered with stand alone shows first...
Stuff from the studio that seems cool
Anime series that have at least one talking animal in them.
Anime I've enjoyed watching that aired between 2000 and 2009.