All...
...the...
... TIME
Usually for me, though, it isn't that I dislike the protagonist or that the story is weak, or even that the "villain" is "redeemable" or "just trying to do something good in a bad way." For me, the main reason that I usually root for the villain (such as Scar in
The Lion King, or Andrew Ryan in Bioshock I [Yes... he isn't "the villain" per se, but he is the "prime enemy" for the majority of the game], or even some of the Forsaken in the
Wheel of Time book series because they usually have so much more thought put into their characters and there is just more to them for me, the reader / watcher / player to enjoy, as well as they're characters are much more likable than the protagonist.
For example, Scar in
The Lion King (as I can assume that I can use that one without bothering people and most people have seen / heard of this character?) was a perfect example of a villain. He was the main antagonistic force in the story, had a plan for domination, carried it through with a perfect mix of duplicity and intelligence due to his lacking physical strength, and had the perfect "presence" "on screen." However, you weren't supposed to like Scar. He was the bad guy. You were supposed to be singing Hakuna Matata and cheering Simba on every single time he smacked Scar in the face.
But... Simba was an idiot throughout the entire movie. Easily manipulated, could not gather support behind him (he needed Nala to gain any sort of backup and his only other friends were worthless when it came to insurrection and combat), and only really won because of adrenaline, emotion, and Scar's pride of seeing the battle over with.
Compare that to Scar's movements within the movie. Manipulated the current leadership structure with little more than double-entendres and scarcasm, knew exactly what to say and when to say it because of his great intellect, had a devoted follower base in the Hyenas, and was an excellent military commander with some skill in running covert operations that assassinated a king by creating a stampede. In fact, the only things that went WRONG for Scar during the entire movie was the the stampede didn't kill Simba as well as Mufasa (which he thought he immediately fixed by making Simba run off into the badlands which would have probably killed him through exposure anyways) and losing the climatic final battle.
So yeah. I root for the villain when they are like that.
Oh, and
The Lion King is Disney's adaptation of
Hamlet, just in case no one knew.