There is no "move list" in DMC3.
The amount of combos and chains you can do is only limited by your imagination.
That is to say majority of the moves in DMC3 are manual, do anything, on anything, at anytime.
Example:
Slash, Slash, hightime (short), juggle, hightime (short), hightime (long), Air Rave x'2, cancle to in-air juggles, jump over enemy, more shooting, air rave x'3, slash down, stinger to millioin stab, cancel into dance macrabe and cancel into a instant weapon switch to your guantlets, dish out the two punches perform a real impact, and switch back to the sword and finish with a full air rave x 4. That's a complete combo chain, all consecutive hits with no delays. So it's just not a set of seperate moves pasted together, it's one big combo chain fest.
I just made up that combo string in my head.
But you know what makes it so great, that combo will 100% work. That's the beauty of the combat system, you can peice together different moves togethre that work with the games physics to create WHATEVER chain you'd like.
It's all up to your imagination.
Take the tools (over 90 special moves) 6 gameplay styles, 4 instant weapon switching, dt properties and just explore explore explore. on how to use them.
Nobody can tell you what combo chains to do because it's entirely free form.
I know that doesn't help, but watch some gameplay clips and combo videos here:
if you didn't realize it before, you'll know (after watching a few combo vids) that DMC3 has by far, the most varied and intense combat system to date.
This website, has everything. All cutscenes, video FAQ's and demonstrations on how to beat the bosses on any difficulty, and some combo videos.
www.thehandvseye.com
It's not a dedicated site to "flashy" or "stylish" combos (the links to those I have to hunt for) but it's a good site to get a barring on how the flora and fauna work, just don't button mash and play like a moron, if you don't do that, DMC3 (despite what some say) isn't that hard.
Hope that helps!