Would a badger eat a bird?

Even humans are known to have eaten badgers.

They say it taste like pork.

Most animals would stay away from a badger though. They are not on the main menu due to being able to bite hard and they are tough prey to lay down.

Young ones (cubs) are hunted by wolves, foxes etc. I suppose they would say they taste like chicken.

Badgers even eat their own kind if hungry enough. Not actually hunting themselves, but if they find a corpse, then they might have a "feast".

Since Badgers eat dead animals, they are at great risk of developing Trichinosis. This is a parasitic worm infestation that is next to impossible to actually cure. Trichinosis is transferable to humans.