Yes, there are a lot of them out there. Just do a google search and you will find them But they won't do any good for you.
yes you can find free approved directory list in Google.. i have also good instant approved directory sites... i also search in google to get instant sites...
I would be really concerned about submitting to a directory that automatically approves submissions. These are always low quality directories filled with links to spam and other low quality websites. I think it is a much better idea to submit to a directory where submissions are reviewed by human editors and where spam can be deleted. I believe Google will place more value on links from these directories.
Free auto approved directories all massive spam / link farms full of enough wasteful, shady and dead URL's that they not only carry no weight, they generally can do more harm than good in the long run. I'd suggest avoiding directories like this. It's certainly no going to do you any good.
I agree with this 100%, you should avoid them especially these days with all the new Google updates focused on negative SEO tactics. Instead only go for high quality directories you need to be approved for, the creame of the crop there being DMOZ(which could take months to years for approval or never at all)