The purpose of this comparison is not to see which disc is better (only the Starmax features the director's cut), but only to see which transfer is better (out of curiosity).
Interesting sidenote: Due to a rights problem with the soundtrack, the director's cut cannot be sold outside of Korea. The Edko DC DVD is actually illegal.
Starmax:
2:17:33 NTSC (director's cut).
1:778 anamorphic transfer.
Dolby 5.1 korean track.
Problematic english subtitles (hard-of-hearing).
Lots of extras but no subtitles.
Asian Star:
2:03:40 PAL (korean theatrical cut).
1:85 anamorphic transfer.
Dolby 5.1 korean track
Good french subtitles.
Lots of extras, all subtitled in french.
Starmax:

Asian Star:

Starmax:

Asian Star:

Starmax:

Asian Star:

French DVD is sharper, but not by much.
Starmax picture has a pinkish tint, AsianStar picture has a greenish tint.
It's in the 3rd pic that the french DVD is much better (the Starmax disc is way too pink). Both transfers look good, though.

