broad-minded

from WordNet (r) 3.0 (2006)

broad-minded
    adj 1: incapable of being shocked; "he was warmhearted, sensible
           and unshockable" [syn: {unshockable}, {broad-minded}]
           [ant: {narrow-minded}, {shockable}]
    2: inclined to respect views and beliefs that differ from your
       own; "a judge who is broad-minded but even-handed" [ant:
       {narrow}, {narrow-minded}]

from The Collaborative International Dictionary of English v.0.48

broad-minded \broad-minded\ adj.
   1. incapable of being shocked. Opposite of {shockable}.

   Syn: unshockable.
        [WordNet 1.5]

   2. inclined to respect views and beliefs that differ from
      one's own. Opposite of {narrow-minded}. [Narrower terms:
      {free-thinking, latitudinarian, undogmatic, undogmatical}]

   Syn: broadminded, broad, liberal, tolerant, open-minded,
        open.
        [WordNet 1.5]