Animated duo Wallace and Gromit collected best film at the Bafta Children's Awards for their adventure The Curse of the Were-Rabbit.
Wallace and Gromit also won an award at the main Baftas this year
Harry Potter and the Goblet of Fire won the only public award, the Bafta Kids' Vote, chosen by about 100,000 children.
Holly Willoughby, from CITV's Holly and Stephen's Saturday Showdown, was best TV presenter, while the best TV channel category went to Nickelodeon UK.
Five show Michaela's Wild Challenge beat Blue Peter to the factual award.
And the entertainment category was won by BBC adventure game show Raven, which stars James MacKenzie as an ancient Scottish warlord.
Earlier this year, Wallace and Gromit took the best British film at the main Bafta ceremony, as well as winning best animated film at the Oscars.
Creator Nick Park said that part of the attraction of his characters was that they appealed to young and old, around the world.
"I think humour's always a really universal thing. It seems to appeal across the board," he told BBC News 24.
"I know it's kind of a cliche but I just make films for myself and the whole team. Whatever makes us laugh... goes into them."
Children "really relate to the school life" in Harry Potter, Grint said
Rupert Grint, who played Ron Weasley in Harry Potter and the Goblet of Fire, was at the ceremony in the Hilton Hotel on London's Park Lane.
Children loved the magic element of the Harry Potter films and could "really relate" to its setting of a school as well, he said.
"I was a big fan of the books as well. They're pretty huge. It's sort of everywhere," he added.
The international award was presented to Icelandic programme Lazy Town, which is now shown in dozens of countries worldwide, while the interactive category was won by the BBC's Level Up.
And Nigel Pickard, a former controller of children's TV at the BBC and ITV, received an outstanding achievement award.