I have a Big Shot and to my knowledge, it takes the same dies as the Vagabond. Only difference is the Vagabond you press and hold a button and the Big Shot you crank.
As Stick said, the Big Shot takes all dies out there--with the exception of one die out of the Grand Nesties set.
Not only willl the Big Shot cut Grungeboard, chipboard, craft metal, veneer, plastic etc, but it will also emboss them beautifully.
I did see the thread Stick mentioned about the Vagabonds catching fire, but I'm pretty sure they will exchange it for a new one should that happen to you.