It depends on the lenses you are comparing. I used to have the Carl Zeiss Distagon T* 28mm f/2.0 and the Carl Zeiss Distagon T* 35mm f/1.4, both in Contax/Yashica mount. Now I have the Canon 24mm f/1.4 L (MKI) and the Canon 35mm f/1.4 L. I was lucky with both my Canon lenses ao, they are slightly sharper than the Zeiss ones I used to have, especially wide-open. The 28mm, when stopped down, was probably a little sharper than the Canon 24mm. Anyway, the look of the Zeiss lenses is different, regarding colour, micro-contrast and bokeh. They are also very, very sharp, I just was lucky to get some very good Canon copies.
I still have the Carl Zeiss Planar T* 50mm f/1.4 and I think it's much better than the Canon 50mm f/1.4 USM.
The ZE versions are not much different. Theorically, they should be better, however there are tests showing the superiority of the Contax ones when used on some apertures.