One of the few mini-bosses in the game, the Shogun is basically at the end of a mini-world heavily based on an ancient Japan.
His boss fight is very non-traditional. You basically have to figure out how to hop into his own little box square, and it's not easy.
Mainly because spike walls can come at you at almost any time. There's usually some kind of safe place, but you'll need to figure out where that is before it happens.
And then stomp on his head when you finally get to him. After like three rounds of this, he's done for. One of my least favorite in the game, but a decent mini-boss.