Usagi Drop
うさぎドロップ (original)
By force of circumstances, a 30-year-old single man with a full-time job suddenly starts raising a 6-year-old girl. While running each other ragged, the two of them gradually grow into a "family".
Starring Hiroshi Tsuchida, Ayu Matsuura
Watch "Usagi Drop" on Tubi TV released in 2011. It's a animation and drama show, and has a rating of 8.2 out of 10 from Imdb which is very high for this kind of show, and is currently available to watch for free.