I have to find examples of contemporary philosophers who accept Cartesian dualism. Who would be the most important proponent? While philosophers who reject physicalism (e.g. David Chalmers, Thomas Nagel) aren't uncommon, they usually don't find Cartesian dualism plausible.
Addendum: So finally (I was very busy, sorry!), thanks for all the comments on this question. At first I thought Cartesian dualism was just about unified souls, but now I believe, that there are some other distinguishing features of it which are essential for it, but are simply refuted and not held anymore by any serious philosopher.
If Descartes were here with us now, I don't think he had a problem giving up his ideas about the pineal gland. Yes, of course, that was silly, but his philosophy doesn't hinge on that.
But, as pointed out in the comments, I think the mechanical view of the physical world is absolutely important. Descartes would probably have serious problems with quantum mechanics, for example.
I guess it is also essential to Cartesian dualism that animals do not have consciousness and are just some kind of complicated machines (which I doubt anybody believes today).