Blu-ray

DE Turbine is similar in quality, US Warner Bros is worse (caps: EU vs US, EU vs DE)

The 4K discs have different color timing to the older master, see caps.

The 2012 DE Turbine disc is the master as the 2008 US Warner Bros, only with some sharpening and a layer of added grain.

The EU disc from Universal has neutered bass.

4K Blu-ray Atmos track is much more compressed in all channels.

Better

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"

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.

Both releases have two presentations: sourced from the original Betacam master tapes, and another that uses a filmout of the tapes.

US Lionsgate Blu-ray looks very different from either Italy Eagle Pictures or Germany Kinowelt Blu-ray: https://caps-a-holic.com/c_list.php?c=502 but other than color grading looks better

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