Nothing fancy, just list some movies where a character narrates a portion of it:
Off the top of my head:
The Right Stuff
Goodfellas
A Christmas Story
Stand By Me
I thought of this over the weekend when The Untouchables came on and there was some script at the beginning. I had a hard time reading it and thought it would be better if it were narrated, then bingo: “Straight Dope Topic”
The original (i.e. pre-director’s cut) version of Blade Runner had the Harrison Ford narration (which, incidentally, I prefer to the non-narrated version).
Life is Beautiful? When I saw it yesterday it was all in Italian except for a few parts in German and that brief moment in English when the American in the tank talks to Giosue.
Perhaps you have a different version.
A question related to the OP. What about movies narrated by several of the characters in the film? I’m sure there are some, but I can’t think of any off hand.