Papal infallibility does not mean that every word that comes out of his mouth is true. It means that he can not bind the faithful to believe error. So when he officially exercises his power and declares that something must be believed by all the faithful then he will be divinely protected from teaching error.
Papal statements that would be regarded as infallible are also made incredibly rarely...I think the most recent one was to affirm Mary's Immaculate Conception. Catholics are free to criticize the Pope as much as they can criticize any other king.
Still hasn't answered my question: has he said anything that goes against the teachings of the gospels?