Instead of asking what specifics are best you are better off learning concepts that can be applied in general situations and then determining what works best for your specific needs. This will lead to better creativity. You may find that by approaching it in this manner you come up with a unique take on things that is rarely used by AMV creators. At the least you will be forced to consider something more than "there is a drum beat; obviously I must transition RIGHT THE FUCK NOW for no discernible reason"
By no means are these everything or perfectly written but they do give a quick and dirty idea of some film editing concepts.
http://en.wikipedia.org/wiki/Soviet_montage_theory
http://en.wikipedia.org/wiki/Continuity_editing
IMO if you want to be a real editing Baller then the less you do the better. Check out the opening sequence of Robert Altman's "The Player" (one of my favorite films).
http://www.youtube.com/watch?v=0epB5Z6ijpk

