Some fanbrats just love to try to redeem the villains of their favorite fandoms. 99% of the time, this is done because the actor who played the villain in question was teh sexy!!!11eleventy! in the fanbrat's view.
Now, I'm not saying that redemption fics can't work--they can, and I've read some good ones. Far too many, however, redeem the villain through massive OOCness and WTFery.
Some common examples:
Draco Malfoy (it's not called Draco in Leather Pants for nothing) and Snape
Darth Vader (in stories having nothing to do with Luke bringing him back to the light)
The Phantom of the Opera
What do all these characters have in common? They're all played by actors who make fanbrats' little hearts go pitter-patter and get damp between their legs.
Occasionally, you'll find a redemption badfic that breaks this mold, like a Star Wars fic I read years ago in which Palpatine was turned to the light side of the Force with hawt buttsex with Anakin.
There are a few main causes of redemption, among them:
1. Hawt sex equals redemption ('cause we all know sex can fix anything).
2. The slightly more character driven, but nonetheless still awful power of twu wuv (typically, the villain falls in deep, everlasting love with Marietta Susanna Manzanita Appleblossom Happyface Internet, who removes his real personality and turns him into a Stepford good guy).
3. Death equals redemption, i.e. "I burned down twenty major cities and murdered the survivors because they looked at me funny and dyed their cats' tails purple, but I did it all for love/because I was abused as a child/fuck why here's an incredibly valuable object/piece of information/sad look, and I am now a good guy, so everyone will mourn me and I will become a legend for all the right reasons."