There are utilities for downloading youtube videos (for example Linux has youtube-dl), but it's not uncommon for sites with large numbers of downloadable files to prevent attempts to simply download everything - and even though you said you wanted to list rather than download all the videos, that's unfortunately what it would suggest to a website administrator.
Besides, files on youtube are not accessed by simple urls like http://www.youtube.com/filename
Something more is required. I don't think you can treat the (what is it?) 11 character alphabet soup as a filename, it's a parameter passed to the software which streams back the video.
EDIT: youtube-dl is a command-line program in Linux and probably BSD. You need to know the URL of the Youtube video so you can type (for example)
youtube-dl http://www.youtube.com/watch?v=Z1JZ9O15280
If you had a list of these URLs you could put them in a file and make a bulk download script - but that takes us back to your original question.
In Firefox I would right-click on a link to a Youtube video and choose 'copy link location'. Then paste the URLs one at a time into a text file. But this question is drifting away from mere programming...