This post is here to explain the differences between each console and version for Pac-Man World and to illustrate which versions are the fastest for which categories. (Updated December 12, 2017)
Any%:
NTSC-U is the fastest version, but only by 2 or 3 seconds over NTSC-J. NTSC-J has a slower final set of moving platforms at the end of Barrel Blast, and the health refills after completing levels make optimal death abuses in Perilous Pipes and Ghostly Garden more difficult to set up, particularly the latter. Although PAL has the fastest movement, Wall Skip, Bell Door Skip, and Gate Skip are all not possible on this version, and these skips save far more time than the faster movement does.
NTSC-U > NTSC-J >>>>> PAL
All Levels:
NTSC-J is the fastest version. King Galaxian, the 2nd boss, takes fewer hits per eye to defeat and saves around 10 seconds as compared to NTSC-U/PAL. Krome Keeper, the 5th boss, has 2 less HP on NTSC-J, which makes that fight faster by around 30 seconds as compared to NTSC-U/PAL. PAL has the fastest movement speed, but Bell Door Skip is not possible, putting this version about on par with NTSC-U.
NTSC-J >> NTSC-U ~ PAL
100%:
NTSC-J is by far the fastest version. Marathon Mode is not required for 100% completion on this version, saving over 40 minutes over NTSC-U/PAL. Faster movement speed on PAL makes it better than NTSC-U but still far worse than NTSC-J.
NTSC-J >>>>>>> PAL >> NTSC-U
Consoles:
PSTV > PS2 FDS >> PS2 SDS > PS1 Emu ~ PS1 ~ PS3 ~ PSN