When Christy is chasing Ike, she loses her shoes, and leaves them behind. However, after catching and directing Ike to the news building, Christy is seen entering the building putting her shoes back on, though she never returned to retrieve them.
Before the Ike Roscoe interview is played, it is established that there was no time to edit the tape. however, when it airs, the part with Roscoe performing the magic trick has been edited out.
When Christie is in Sully's office trying to quit, Sully has his shirt tucked in, when he sits down, his shirt is hanging out with no wrinkles. After he stands up again, he tucks his shirt in.
Several times during the movie, the name of the network that Christina and Sully work for is mentioned. Sometimes it's Satellite Network News, other times it's Satellite News Network.
Blaine is carrying around a regular landline cordless phone and using it as if it were a cellular phone.
Cell phones in 1988 looked very different.
The people working for the cable news network out of Chicago are trying to urge the governor to pardon "Ike", even to go as far as on a newscast to urge Springfield to listen. At one point we see the governor tell his aides he will grant the pardon and wants time on the 11 o'clock news. In Chicago, and all of Illinois for that matter, being in the central time zone the governor would have asked for time on the 10 o'clock news.