Lex,
Just thought I'd chime in on this as well. I was using 804 just fine and needed to update to at least 855. So, a few days ago, I downloaded 871 and came up with the same problem. I figured it was just a compile problem with that version so decided to wait a little bit before downloading a new version. I went on the website tonight and noticed that 871 is the last of the versions for 1.6.2, so I downloaded it again and came up with the same error.
After some forum diving, I found the solution of manually adding those 2 files. I did and it's a no go. Even with those 2 files in the correct locations, FML installer still downloads and overwrites them with a different version. I can tell it's a different version as the file sizes aren't the same:
FML Installer scala-library-2.10.2.jar 6,474KB
Manual D/L scala-library-2.10.2.jar 6,955KB
FML Installer scala-compiler-2.10.2.jar 12,963KB
Manual D/L scala-library-2.10.2.jar 14,074KB
I figure I better include java -version output:
java version"1.8.0-ca"
Java SE Runtime Environment (build 1.8.0-ca-b102)
Java HotSpot64-Bit Server VM (build 25.0-b44, mixed mode)
I have completely deleted and re-ran the Minecraft.exe launcher from Mojang and that still doesn't get rid of the problem.