Hnm.
I had a HUGE little girl crush on Jim Hawkins in Muppets Treasure Island and Trunks from DBZ. I have a huge crush on Jim Hawkins in Treasure Planet.
I used to have a crush on Erik/the Phantom of the Opera. It's lessened over the years, but I mean, it's totally still there... Edit: I have to clarify, this is Gaston Leroux Phantom, not Gerard Butler Phantom.
Otherwise, Handsome Jack from Borderlands. Garrus Vakarian from Mass Effect. Richard Harrow from Boardwalk Empire. Farkas from Elder Scrolls. John Hancock/McDonough and Nick Valentine from Fallout4. Gaius Baltar from Battlestar Galactica. Yun Fang from FFXIII (to be honest, this is just from seeing her in the fandom and less having actually played the game).
Why do I like some of these derps? I dunno, probably for the same reason I'm the person who gave her car away to her ex. Some are either 'monsters' as perceived by their story's normal society or 'broken' in some way.