Hinamatsuri is a short but sweet series. It's really funny and has a lot of heart to go along with its humor.
The show is about Nitta, a yakuza gangster who unexpectedly meets a girl named Hina with psychokinetic powers. While it's a bit rocky at first, Nitta comes to view Hina as his own daughter, and their relationship is really heartwarming as the series progresses.
While it's short, I really enjoyed Nitta and Hina's father-daughter relationship. Anzu's storyline of dealing with homelessness also had a lot of heart.
I enjoyed the anime (short as it was) so much that I've even started reading the (comparably much longer) manga, and I'm enjoying that a lot so far too!
If you want a nice quick funny anime about found family, Hinamatsuri's a good choice.