You should give 'em a whirl Hung, they're some of Miike's best films. I'd be particularly interested to see what you make of Shinjuku Triad Society.
As for the comparison, no surprises there I guess, little difference beyond the interlacing and darkness of the Artsmagic (I've long suspected their releases were overly dark).
Might as well pimp out my review of the Artsmagic set over at DVDTimes

, you might have to forgive the naivete of the writing, they were some of the earliest reviews I ever wrote for the site:
Shinjuku Triad Society (The user comments features a brief discussion on the poor nature of the transfers for these early Miike productions).
Rainy Dog
Ley Lines