Thanks for your tip Egghead. I checked it out and unfortunately it isn't "The Oblong Box" the one I'm looking for. Sounds like a good movie though, I'm going to watch it!
The one I saw had a plot much more similar to Sam Raimi's "Darkman", only set in medieval times. I think, at least, it was medieval times, because they were riding horses and wearing tunics and stuff like that.
I remember one scene in particualr, the one where you see for the first time his disfigured face. That's when he actually learns he's been burned. he's in a cave, where an old man and a lady have been taking care of him and tending his wounds, and he realizes, when he wakes up, that he's wearing bandages over his face. So he takes off the bandages and goes to this water well and looks at his reflection in the water, then he turns to the camera screaming!! I believe I shat my pants right there, as I was about six or seven at the time!
I've been searching now for years and I still can't find it!! Damn

Sounds like "The Oblong Box"