The House of Doves (A.K.A. Casa de las Palomas) in the Maya ruins of Uxmal has one face that tends to be shown in tourist brochures and online photos.  This is the other (north) face:

When I last visited, the structure was getting a bit of touch-up work done (thus, the scaffolding you can faintly see in the left of this photo).  I think it’s a very photogenic structure regardless — even on the less-pretty side and with scaffolding in full view.