Chi
This is a cartoon about a kitten named "Chi" ("little" in Japanese), who is adopted by a young inexperienced couple, who struggle with chi's antics, adventures, and basic innocent trouble making. Each episode is a continuation of the previous one, and reads out like an epic (of sorts). Although the show is in Japanese, any cat owner anywhere will recognize the universal cat behaviors and antics.
Check it out -- Chi's Sweet Home full opening song: