This thread makes me happy, we haven't gotten a good discussion on ayu remixes in soooo long x_X!
My fave remixes are all ones that can be treated just as alternate versions of the songs... they're as much rearrangements as remixes really. A remix like that will get my attention ESPECIALLY if it makes me hear something in the melody I didn't notice before.
Other times I like really thick, full-sounding trance & house stuff with some kind of great synth lead hook that makes them memorable. I also like more full-sounding AO versions, and any moody or trip-hoppy type track that creates an interesting soundscape.
I have very strict guidelines about rhythm & professionalism - some remixes are awesome but they sound like the remixer didn't listen to them the whole way through to make sure it stayed on beat or to make sure the accompaniment followed vocal key changes properly. That drives me so nuts, it's like nails on a chalkboard.
That in mind, these are my favorites:
A Song for XX "Ferry Corsten Chilled mix"
A Song for XX "she shell REPRODUCTION"
And then "VOICE SPECTRAL MIX"
AUDIENCE "HAL's Mix 2000"
blossom (Clockwork yellow remix)
Boys & Girls "HAL'S Mix"
Connected "Ambient Mix"
Days (8-bits of tears YMCK remix)
Dearest "The Implication DUB Mix"
Depend on you "Dub's electro Remix"
Depend on you "Svenson & Gielen remix"
Duty "Eric Kupper Big Room Mix"
ever free "HAL'S MIX 2000"
Far away "Huge mutual-tried mix"
fated "Orchestra Version"
Fly high "Acoustic Orchestra version"
Fly high "HAL's MIX 2000"
from your letter (sleeper/spaceborn remix)
girlish "Scanty Sandwich Radio"
HANABI "Lange Remix"
HANABI ~episode II~ "HAL's Mix 2003"
HONEY "Classical version"
I am... "Acoustic Orchestra version"
independent "Cyber NATION remix"
INSPIRE (Energy Inspire Remix)
kanariya (Arranged by Yuta Nakano)
kanariya "engrave mix"
kanariya (Hex Hector remixes - Main Radio Mix & The Dub Version particularly)
Ladies Night ~another night~
M "Above & Beyond remix"
monochrome "D-Z WHITE INSTINCT Mix"
NEVER EVER "Acoustic Orchestra version"
NEVER EVER "tears of aquarius mix"
No way to say "Acoustic Version"
POWDER SNOW "Acoustic Orchestra version"
Prologue "Hybrid Remix"
SEASONS "Jonathan Peters' Radio Mix"
Together When... (CO-FUSION Remix)
Two of us "HAL's Mix"
UNITE! "Huge UR-Chin mix"
vogue "HAL's MIX 2000"
Voyage "83key's Eternal Remix"
walking proud (CALM's Balearic Remix Radio Edit)
Who... "Blue Obsession Mix"
Will "Wall5 Remix"
Oh man there are so many more that I love but I'm gonna stop there lol... that pretty much covers the essentials though.