I checked out Fight Myself, because I am such a closet insane Fate/Stay fan.
On the whole, I like how you captured an interesting take on Archer. Nice job conceptually, which I appreciated endlessly. I love AMVs that show inner struggles.
The only thing that I really didn't like was the fact that you included the scene with Rider attacking Shirou, as well as scenes with Rin. To me, almost the entire AMV was focused on Archer/Shirou, and having these two included killed that focus. I know that the scenes with these two are moderately limited, but I think it could have been pulled off with proper scene selection.
Editing wise, I think it needed a little more polish on hitting the beats and transitioning between the different settings, but still entertaining nonetheless.
Still, I liked it on the whole.