I own BOTH sets. the Jeff Lew DVD AND the ANIMATE! CD set so I can comment on both.
Both CDs are excellent for teaching you the basics of Animation. Jeff Lews' DVD is only 1 disc ($49.95 US at time of this writing). and I feel I was rushed when he explained how to animate. When Jeff was making his Animation DVD he was focused on creating the disc to be a multi-application (Training DVD that teaches basic animation principles and was geared to multi-application level. IE: you can use A:M, Maya, Lightwave, etc). Jeff DID use A:M to show his principles though.
Anzovins' ANIMATE! series are 3 fully packed discs ($80 US at time of this writing). With 3 Discs there is LOTS more room for Animation Tips and Tricks. The series coveres each basic principle of Animation in MORE detail of each principle of Animation.
An example "excerpt" from both (excerpt paraphrased): Jeff Lew DVD talks about the Graph editor and how powerful it is, and how you should LOVE it. Anzovins CD SHOWS you about animating in the graph editor, creating keys in various ways, cleaning up messy control points in the Graph Editor, tweaking curves and how a curve reacts with the animation.
Jeff Lews' Disc has a section where he tweaks an animation and you can see EXACTLY how he animates, but Anzovin offeres a video that covers the basic pre-planning stages, Things to consider before animating, and a sample of Cristin (the creators) Live-Acting a scene she later animates and like Jeff Lews' animation portion, she quickly covers how to animate the live-acting. Even though Jeff covers the animation process in more detail, Cristin teaches you WHY you move the character as you do and she QUICKLY animates the character with less comprehensive step-by-step animating. If you pay attention to the instructions she shares you will understand how she gets from start to finish with little problems at all.
Personally if I were to start over and pick EITHER Jeff Lews DVD or Anzovins CD Set I would stick with Anzovins set (even though it is only $30 more. but it covers 2 or 3 times more information).
Pay the extra $30 and go for ANZOVINS ANIMATE! CD series and you will get a more comprehensive training from it, and I am sure that you will not regret the purchase!
Anyways, Hope this helps you along your journey through the complex learning curve of Animation-in-Motion.
One last note: Jeff Lew produced a DVD and Anzovins ANIMATE! Series is a CD with the sample files, Quicktime MOV videos, etc..