Some violent scenes can get graphic.
Prince Lir beheads a dragon. We don't actually see this happen, though. We see him fighting it and then later presenting the cut off head to Amalthea (a.k.a the unicorn).
Also, at one point during the second encounter with the red bull, Lir gets run over by the bull and it's later revealed that he was killed. There's no blood, though, he just lays there. He is later brought back to life.
Following discussions of death: the Harpy's inevitable killing of Momma Fortuna, the unicorn releases the Harpy from her cage, who tries to kill the unicorn but instead kills Momma Fortuna. There is no blood, but it is obvious by the sounds that the winged creature is killing her.