At the R.B.T.V. Station, when a security guard is tossed from Bullwinkle's antlers, the glass shatters before the guard is thrown through it.
When Rocky is hypnotized by the broadcast, and Karen goes to check on him, she points her pistol upward, and a glimpse of the butt end shows that there is no magazine.
When his request to cut to a commercial is denied (just after he and Rocky enter the real world), Bullwinkle asks if they are on PBS. This network did not begin broadcasting until 1970. The film later establishes that Bullwinkle has no knowledge of any post-1964 developments.
When the three heroes are escaping in an old biplane there is a brief cut to show the altimeter winding down because they are overweight. At the top of the altimeter it shows the units as KM (Kilometers) which is ONLY used in the former Soviet Union. The rest of the world uses Feet so you would never see such an instrument in an American aircraft flying in America.
Ole shouldn't have been allowed to camp in front of the theater. Plus a lot of people would have pointed out to the low intelligence man that his "date" stole his truck and ditched him.