It's a piddling difference, I know, but I like having the navaid ident & morse on the approach plate. The Jepps do this and from memory the ASA docs don't.
Handy for the lazy sods like me that never learned morse!
I also prefer the Jepp technique of representing DME/GPS arrivals, ie. "After __, Descend to__" and a few other variations here. I believe (though I could be corrected) that the Partenavia prang at Wagga Wagga some years ago may have been caused by incorrect DME step interpretation.
I guess the biggest advantage of using Jepps is that when flying in distant lands, the charts are all of the same style. Big plus.
Might have to get myself another Jepp binder, though. With all the new 18-1's appearing, binder 2 is bursting at the seams!