I enjoy a good story. Heck, I enjoy a decent story with a nifty monster. Being a fan of "The Thing" and other 80's style monster flicks, Leviathen is right up my ally. The production value is great, and the monster is no worse then other 80's horror movies.
The story is a bit slow, but so was "The Abyss" and that movie has tons of critical acclaim. I really believe "Leviathan" is an awesome example of a monster movie, and really encourage people to watch it. If you liked "Aliens", "The Thing", and/or "The Abyss" you WILL get something out of "Leviathan".