My two cents: I have the complete Columbia and the Verve master takes, so I cannot answer the question precisely. I enjoy them both greatly, though on balance, I would go with the Columbia set. The last disc or two of the Verve set have some great moments, but sound more uneven to me. I think the songs on the Verve set are more drawn from the great American songbook, which is a strength of that collection if you like those songs (I do). I don't think you'll be disappointed either way if you like Billie Holiday.