When the prince arrives in his dorm room and later the roommate arrives, the roommate enters carrying arms full of snacks. The snacks included a box of Cheezits. The roommate later states his allergies, which begins with dairy.
During the race in the beginning of the movie, the policeman holding back the crowd earlier in the race is the same policeman who is at the finish line with the checkered flag. Unless there was a shorter route between the two places, he could not have jumped on his motorcycle and gotten there before the racers.
When Eddie is asking Paige to a party (just before he gets rejected), the vertical bar in the railing Paige is standing behind moves from shot to shot of Paige, and is completely missing from the shots of Eddie.
When Paige is in Denmark, trying to get to the front of the parade, it shows her behind the two women, then in front, then in back, then in front, then trying to get to the front, then in back, and finally in front again.
When Paige is getting the two beers for "Eddie" in one of the early bar scenes, the foam on the first beer appears and disappears between the shots. The levels of the beer itself also increase and decrease.
Eddie visits Paige's home at Thanksgiving in Wisconsin, yet it looks more like the middle of summer. By November, the trees would have dropped all their leaves and the average high temperature is in the mid 40s.
When Soren shows Paige around in the royal garden he talks about when King Gustav IV fell and.... That king is actually Swedish and was the king of Sweden between 1792-1809. The Danish king in 1502 was King Hans.
[Incorrectly regarded as a goof] There is a portrait of George Washington on the wall in the Danish palace. It is visible in the scene when Paige breaks up with Edward during his coronation. Washington is a direct descendant Halfdan, King of Denmark and Sweden.