When Does the Film "Superman Returns" (2006) Take Place?
"Superman Returns" is a superhero film written by Bryan Singer with Michael Dougherty and Dan Harris [loosely adapting "Superman" #192-#194 v1 (1966) by Otto Binder] that released June 28th, 2006. So when is "Superman Returns" set?
It takes place on the fictional DC Films Universe timeline in the year:
We know this because roughly a quarter into the story an issue of "The Daily Planet" newspaper is clearly visible with a headline describing events the audience has just seen on a front-page dated for "THURSDAY SEPTEMBER, 28TH 2006".

2006 AD
We know this because roughly a quarter into the story an issue of "The Daily Planet" newspaper is clearly visible with a headline describing events the audience has just seen on a front-page dated for "THURSDAY SEPTEMBER, 28TH 2006".
More specifically, there's two mock-ups for a second "The Daily Planet" front-page near the end of the movie. One of them can be seen in close-up and it is dated for "FRIDAY SEPTEMBER, 29TH 2006". So the entirely of the main action must last less than a week in late September of 2006 AD.
It is a chronologically midway film in the DC Films multiverse timeline (a midway chronological film to feature Kal-El/Clark Kent/Superman) and can be watched at its timeline point.

