Incapable of being shocked (scandalised or appalled).(adjective)
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Use "unshockable" in a sentence
"It may be good fodder for scripts and for audiences growing increasingly unshockable, but it is an experiment on a theme that in actual, real life is a potential form of chronic sex abuse."
"LaChapelle says he is not aiming for sensation: "We live in an unshockable world.""
"No matter how unshockable you like to think you are, I expect you'll jump at least once and probably several times in the course of Profiles Theatre's scaldingly funny revival of"