Nattevagten (1994) from Johnny Web (Uncle Scoopy; Greg Wroblewski)

This is the first (Danish) version, the second is called Nightwatch. Read the review of Nightwatch for a basic summary, since they are essentially the same movie. 

The comparison:

1. Several scenes are shot-for-shot, line-for-line, identical. An example would be the lengthy scene between the outgoing night watchman and the new night watchman, or the scene where the night watchman's girlfriend stumbles on the hooker's murder scene.

2. Several other scenes are the same line-by-line, but have been re-shot to alter the nudity or Danish references.

a. One scene in Nattevagten involved two guys making a bet involving a sort of high-level game of Truth or Dare, in which the first guy to refuse a challenge would have to marry his girlfriend. The first challenge took place in a bar, followed by an outdoor scene in which the friends discussed the masturbatory habits of "Hands" Christian Andersen. The English language remake replaced the outdoor scene with a discussion in a car, in which no masturbatory habits were discussed, Danish or otherwise.

b. Another scene in Nattevagten involved male and female full-frontal nudity. This was replaced with a fully-dressed version with the same dialogue.

c. However, Ewan McGregor did do frontal nudity in a bathtub scene. That scene was in the Danish version, but without the light saber. 

a. The young watchman and his girlfriend make love in the morgue. This curious scene was essential for the development of a plot element including his semen. (The real murderer framed him, but knew that he did not place that sperm there, therefore ...... )

b. The Danish movie ends with a double wedding. This scene was cut entirely from the English version.

4. On balance, the sets are a little brighter and more clinical in the Danish version, grungier in the English version.

And that's about it for the differences. There are long stretches where the English sub-titles in the Danish version are identical to the English script, verbatim.

I guess that remaking the film seemed like a good idea at the time. No less a film luminary than Steven Soderbergh worked on the revised English screenplay. The remake languished in the can for two years before they released it, so I guess the idea didn't seem as good after they actually did it. 

Frankly, I like the Danish version with English subtitles better than the English version. It's kinkier, more charming, more natural.