As someone who is wholly unaware of the old Peabody & Sherman cartoons, it all felt very random. A genius dog as the father of a young boy, going on time travel adventures. It sounds like a random mix of popular things thrown together for a quick cash grab, but apparently there's a bit more history driving the Peabody and Sherman characters.
Mr. Peabody is an incredibly wise dog, who earned himself the right to adopt an orphan boy. When Sherman makes a fuss at school on his first day, Peabody's ability to be a real father to the boy is questioned. To make amends, Peabody organizes a party, but Sherman messes things up when he takes out the time travel machine for a spin.
The animation looks pretty dated and the plot is a complete mess. It really feels like a bunch of shorts strung together, whizzing by at a pace that hopefully detracts from the lack of direction. Luckily the comedy is pretty decent, with a fun Mr Peabody (thanks to the voice work of Burrell) and some daft puns. Not great, but somewhat entertaining.