Created between 1987 and 1997, this series is much loved by young children. It features three cute bear cub siblings - Berci, Marci, and Borka (the girl), their parents, and a cast of forest animals from badgers to ravens (and even an immigrant panther who is not treated very kindly).
Most of the show's entertainment value lies in the silly adventures the cubs get into (such as competing in a watermelon contest, or opening a bird feed store and forgetting to stock any bird feed), and the extremely punny language the dialogues are written in. Usually, by the end of the episode, they learn some kind of a lesson about being kind, helping around the house, etc.
And then they sing again.
The show is not generally available online, but I found one video here, and a fuller one here, just to give you a taste. It's actually very cute.
More importantly, I found the theme song!
DISCLAIMER: Alas, this is one of the favorite shows of my little sister. Believe me when I say this: Once you hear the theme song, you are never getting rid of it. Ever.
Proceed at your own risk.