Don't think sasuke really has anything on kakashi. Only advantages i see for him are his genjutsu seem a little better and his mangekyo doesn't put as much of a strain on him.
Kakashi is slightly faster (according to the databooks), has over 1k jutsu, raikiri is an upgraded chidori, is way stronger physically (holds zabuza's cleaver in 1 hand like it's nothing), is far smarter being able to counter unexpected moves in an instant, his taijutsu training partner is freaking Guy, he can open the inner gates to give himself a close combat edge, he makes fantastic use of shadow and lightning clones that could divert his enemies and scout out dangerous attacks, has highly underrated stamina (just came from taking down 7 swordsmen to duking out out with a gang of v2 jinchuriki and was still planning on attempting to reduce tbb with kamui), and has what is likely the most haxed 1 vs 1 mangekyo ability ever, being able to kill in less than the blink of an eye with no warning. Speaking of kamui, it's pretty much a dead counter for susanoo which anchors down the user.