Plenty of screenings which the general populace liked and the critics loved. Even vice versa.

I'll just do 6 I think you might like.

Fur: An Imaginary Portrait of Diane Arbus (2006) Dir: Steven Shainberg.

Notes on a Scandal (2006) Dir: Richard Eyre. 

A Guide to Recognizing Your Saints (2006) Dir: Dito Montiel.

Orchestra Seats (2006) (Fauteuils dorchestre) Dir: Danile Thompson.

After the Wedding (Efter Brylluppet) (2006) Dir: Susanne Bier. 

Inland Empire (2006) Dir: David Lynch.