Ompare a commercial film with an auteur film (from the 2000s)

Compare a commercial film with an auteur film (from the 2000s). I was thinking Avatar with Pans Labyrinth… other auteur films ive seen: memento, city of god, requiem for a dream, the wrestler, children of men.. Maybe compare dark night with memento since they are from the same director.. whatever you feel more comfortable with
I need an analysis of both, how they both relate to their time and to eachother.