There is a very easy way to to skip the intro videos without deleting or renaming some files.

You just need to use "-nostartupmovies" (without these ") as a startup parameter.

Just go to your Steam Library and Right-click on Enslaved: Odyssey to the West ----> Left-click on Properties and a new window should pop up ----> in the GENERAL tab click on "SET LAUNCH OPTIONS..." -----> then paste "-nostartupmovies" in the commandline and press "OK" ----> Done.

This Fix works with every Unreal Engine game.