DVD

4K is defective with color space issues and poor encoding, UHD replacement disc is also defective with worse encode. The UHD has visible artifacts from the bad encoding. The HDR is overdone and the Paramount 4K master has grain management.
The new Kino Blu-ray has none of the UHD's problems and is superior to the UHD in every way though it still uses the same Paramount master.

The Lionsgate BD and Paramount BD share the same lackluster HD master with DNR and image distortion. The Lionsgate is much better encoded but has a 7.1 remix which messed up the original mix design by lessening all the great Foley work in favor of the score. The Paramount BD had a 5.1 lossless version of the original mix but it's a new version where the bass has been tamed so the track has lost its punch. The Kino Lorber UHD and Blu-ray recycle this same lesser 5.1 mastering. The original mix can still be heard on LD and DVD. The 2.0 stereo on the Kino is matrixed but also does not sound as good as the 2.0 matrix audio on DVD or LD.
Kino has a replacement program for the defective UHD to fix the color space issue. The new disc is not marked, has a worse encode AND DOES NOT FIX THE COLOR SPACE! Thus it is a worse defective disc version of the original defective disc.
The Billy Zane interview on the Kino BD has technical issues in the editing and clip quality used.

Disney+ has new master better than Blu-ray

Criterion DVD/Disney Blu-ray is missing a line:

Hummel: (line missing)
 
Lou Lindstrom: "Hello Frank. Lou Lindstrom"

Disney+:

Hummel: Hummel.

Lou Lindstrom: "Hello Frank. Lou Lindstrom"

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

HD Streaming for rent on Vimeo (seems to be legit, from director's own company) or New Yorker DVD

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

4K Blu-ray has Atmos remixes with new effects and changes. The original matrix surround track is somewhat different in its mix than the 5.1 discrete but relatively the same.

Shout! Factory 4K Blu-ray is more filtered than Warner Bros Blu-ray, although differences may not be audible.
(While the LaserDisc 2.0 is reportedly better clarity in dialogue?)

DV Plot. For those curious, the sculpture is still the altered one found on the re-issued DVDs, and previous Blu-ray.

5.1 audio on the Shout (either be 1080p or 2160p) was 16-bit, with more roll-off than the Warners one, the Warners was very similar to the NTSC and in terms of balance of the mix, while the Shout seems to be tinkered with, with the score at the beginning and at the end sounding worse on Shout.

Audio Comparisons: Slow.pics

For the regular commentary found on the NTSC DVD "Original Version" (there's no difference including the other NTSC DVD), Shout or Warners; the Shout commentary was just a bloated lossy transcode with some EQ. The best one was from either of the two DVDs.

Commentary Comparisons: Slow.pics

Now there's another commentary; it's basically the same commentary but has some parts different than the others, it can be found on EUR PAL DVD with subs for said commentary. The subs for it doesn't sync for the commentary #1 and vice-versa. Samples

Old DVD slightly better

Japan Blu-ray has the theatrical cut "Death & Rebirth"

Japan Archives of Evangelion DVD has the TV cut "Death (true) & Rebirth"

The "Remix" remaster has slightly different cuts for some episodes, and completely redone audio mixes. The original TV version of the English dub also has an entirely different audio mix from either the Japanese mix or the "Remix" remaster.

The surround mix is fully discrete, not a mere decode or upmix of the Dolby Stereo LCRS track. This mix has never appeared on any other releases.

The 5.1 track is a new mix from the original elements, rather than a straight transfer.

Criterion booklet notes:
> High Art is presented in the aspect ratio of 1.85:1. Supervised and approved by director Lisa Cholodenko, this new 4K restoration was undertaken by the Academy Film Archive and the UCLA Film & Television Archive, in conjunction with the Sundance Institute, using the 35 mm original camera negative. The 5.1 surround soundtrack was remastered from the DA-88 edit masters and mix masters. Funding was provided by the Academy of Motion Picture Arts and Sciences, Frameline, the Sundance Institute, and the UCLA Film & Television Archive, with laboratory services by Roundabout Entertainment, Red Hook Post, and Monkeyland Audio.