Shoot I read the poll wrong and voted the predator as my personal favorite of the two.
I can assure you this is not the case, though.
Both films shared some 'enjoyable' scenes.
I think The Predator does better with the overall cast and how they carry the film.
I think AVPR had better costume designs for the Predators and Aliens. Not great designs but better.
The Predator had some cool scenes but I couldn't get behind the autistic kid reading Predator language, the invisibility cloak being a magic Harry Potter beed, the Predator dogs, a mega Predator who is upgrading himself, the fact that they contemplated putting Predators in US ARMY outfits with machine guns...and that they really had to narrow down the great big finale of how to end the film between Dutch, Ellen Ripley, or that stupid Predator Killer suit being in the box. It should have never made it onto the screen.