Is there such a thing as Google approved directories? Google no longer suggests listing your site in DMOZ; does that mean it's no longer approved?
I don't thing there's such a thing as Google approved directories or Google disapproved directories.
The real question is directories will give you the best benefit by being listed there? Answer: Quality niche directories, then quality directories
So which are quality directories? The ones with high
PR I hear someone say?

No, not if they're new, have no listings but are PR5
Try the directories that have been around as a directory for more than a year as they are more likely to remain around; and the ones that have listings with unique and accurate descriptions rather than keyword rich descriptions.