Animations with other animations

How would I use an animations clip from another character on the character I am working on now? I have two characters in my game. Character one already has animations on him and character two does not have any animations. Would there be anyway of transferring those animations onto character number two?

On the FBX Importer Rig tab, import both as Humanoid. Then use the Mecanim animation system. You can generally apply any humanoid animation to any other humanoid rig.