And even if the song is good, it just seems corny to put one over the original movie. 

I will occasionally allow a song in the original soundtrack, but only occasionally.

I definitely agree with you about the music in crying compilations -- I find them difficult to enjoy on their own, although they can sometimes be useful in terms of identifying new crying scenes to track down.

I came across the Jezebel compilation around the time I started exploring my interest in crying more seriously, and while I didn't find the video satisfying at all, I was really happy to have the list of actors/films included in the article. The comments on the were a also a big help for finding crying clips online. 

The full-audio snippet from Shame at the end is by far the best part of this compilation -- I've been looking for a high quality video of that scene for ages, and so far I've never found one.