Japan

Japan LaserDisc is in Dolby Stereo

Japan LaserDisc is an extended cut approximately 7 minutes longer than the theatrical cut on the US LaserDisc

UK/Germany/Spain/Japan WB Blu-ray > Criterion on encoding

• 2015 Lionsgate Blu-ray (but it's missing the extra scenes in the Ultimate Edition)

• 2017 StudioCanal 4K Blu-ray and subsequent 4K Blu-rays are notorius for being heavily denoised and smoothened. Alternatively, 35mm scans for the theatrical cut is also available.

• For the Ultimate Edition with the T-1000 searching John's room and the happy future ending, the 2009 Skynet Blu-ray, which is the older pre-2017 transfer, but has DNR.

Differences of mixes on various releases: see thread and more info here.

2017 Blu-ray (which has the DNRed transfer), the 2009 Skynet Edition Blu-ray, and the 2000 Ultimate Edition DVD have exclusive extras. The 2003 Extreme Edition DVD has some exclusive easter eggs.

Germany StudioCanal 4K Blu-ray > Italy Eagle Pictures 4K Blu-ray > Lionsgate 4K Blu-ray

Paramount/Plaion Italy 4K Blu-ray > Paramount US. Overall good, superior compression to the US disc

Criterion 4K Blu-ray has original SDR master while Plaion Germany and France has a subtle additional HDR-regrade. Either one is good depending on user preference.
Important to note, Criterion 4K Blu-ray still has different color timing from 2008 Criterion Blu-ray see https://caps-a-holic.com/c.php?go=1&a=0&d1=15680&d2=15679&s1=165346&s2=165329&i=10&l=0

2025 Taiwan Deltamac 4K Blu-ray > US Paramount 4K Blu-ray (Taiwan 4K Blu-ray is not low passed as the US 4K Blu-ray and has better grain and fine detail retention)

2017 JP Kadokawa Blu-ray has the best encoding out of all the older discs.

Kino Lorber and Artificial Eye Blu-ray use the same master, between the two the PQ on Kino's release is slightly better, but the difference is negligible. However, Artificial Eye also includes the 2.0 stereo mix in addition to the 5.1 mix, while Kino only includes 5.1 mix.

The 4K restoration (Criterion, 4K etc) are cropped to 2.35:1, have revisionistic colour grading and other changes.

Caps: old master, old master vs 4K restoration

Wong Kar-Wai on the framing:

With Fallen Angels, I have changed the format to cinemascope, because it was originally what I had intended to release the film in. When we were cutting the film, we accidentally turned the Steenbeck on anamorphic instead of standard. I felt that the film looked much more interesting because it enhanced the distance of the characters on top of the extreme wide angle that we shot on. Back then, it was impossible to shoot a film in standard and release it in anamorphic. With this restoration, we have successfully fulfilled this wish.

All 4K releases are sourced from the same mediocre transfer provided by Bandai, with various amounts of tweaks. Japanese disc presents it with the least tinkering.

The best attempt at improving it comes from the German/French releases from KSM/All the Anime, both of which use the same master with HDR regrading (original grade is SDR in HDR container), tasteful regraining and sharpening, in an attempt to breathe some life into the middling transfer, making for an arguably more pleasing viewing experience.

All earlier releases are from an even worse transfer, with significant black crush, with the exception of a Japanese TV airing, which doesn't suffer from that issue, but instead is heavily sharpened and suffers from poor encoding.

Comparisons: JPN UHD, USA UHD, FRA/GER UHD, ITA UHD (tonemapped), JPN UHD, USA UHD, FRA/GER UHD, ITA UHD, ESP UHD (PQ), All 1080p BDs, HDTV, HDTV filtered

Original matrixed stereo mix: Bandai JP 4K Blu-ray
Most discs include this track with comparable fidelity (which is excellent).

Dolby Atmos remix: Lionsgate US 4K / All the Anime FR 4K
6.1 remix (from Ghost in the Shell 2.0): KSM DE 4K / All the Anime FR 4K

All tracks on the Lionsgate US 4K replace the original ending song with the one heard on the English dub. As the Atmos track on the FR 4K is just a port, it also has this song replaced.

Japanese 4K includes English dub and subtitles.
French/German 4Ks are not English friendly, with no dub or subtitles.
French disc includes the Atmos track, but the German disc does not.

Theatrical Cut: Old Warner Bros DVD or fan restoration

Revised Cut: 2012 Japan Blu-ray for less revisionist colors, 2022 Disney 4K Blu-ray is controversially regraded and too dark overall.

Criterion  Blu-ray contains exclusive interviews.

The 2013 King Records Blu-ray is the only Blu-Ray release with the video processed look that appeared theatrically, all following Blu-Ray releases use an restoration straight from the original camera negative.

Fan preservation is likely better quality.

The 2011 Lionsgate Blu-ray is incredibly poor for every Original Trilogy film; older processed older DVD-era masters with heavy use of DNR, sharpening and edge enhancement with a really dull color grade. The 4K Blu-ray is miles better. The DTS-HD 5.1 across all three films appears to be the same on both the Blu-ray and 4K Blu-ray, and they appear to be the untouched theatrical 5.1 mixes. 

The Uncut version has more violence: https://www.movie-censorship.com/report.php?ID=256325

Japan IVC Blu-ray but no English subtitle, otherwise only DVD