Films

(caveat: both cropped to 1.33:1)

OG theatrical version has a racially insensitive lyric in opening "Agrabah" song replaced for re-releases, available on OG soundtrack CD and pre-1993 35mm prints only

Every release since the 2004 restored version on the OG Disney DVD has the line "Come on, good kitty, just take off and go" replaced with "Take off, good kitty" due to the 1992 line being misheard as "Come on, good teenagers, take off your clothes" (an occurrence called a "mondegreen")

Streaming has the original theatrical Dolby Atmos mix
Disney/Fox Blu-ray only has a 5.1 downmix

Kaleidescape is lossless (TrueHD 7.1), others are all lossy (E-AC-3 5.1 JOC) at varying bitrates.

Streaming: Kaleidescape > Movies Anywhere > Disney+

Hong Kong Neofilms 4K Blu-ray has better bitrate and detail than Japan Toho 4K Blu-ray, both releases have English subtitles.

The original theatrical Atmos mix has not been given a home release.

Netflix HDR is false HDR against the original creative intent. US Aniplex Blu-ray only has lossy audio.

Cohen 4K Blu-ray caps. Same 4K master that Cohen released on BD but grain resolves much better and the gamma levels are now correctly set.

251 min cut (Extended): Fox Blu-ray. Eagle Pictures has forced Italian subs in some parts

229 min cut (Theatrical): WB Blu-ray

139 min cut (US theatrical): VHS

Eagle Pictures 4K Blu-ray, caps

The 4K includes both theatrical and extended cuts. It's overall a solid upgrade over previous discs, but some will strongly dislike the color grading.
There are some issues with encoding and grain management.

Nic's review:

Some definitely messed with it as there’s grain management going on that resulted in magnetic, squishy grain movement. Both cuts (4K discs) are affected and it doesn’t look like an encoding issue to me as the bitrates don’t drop down to single digits á la Paramount or StudioCanal. During opticals, the lowest I’ve noted on the Extended 4K was around 30 MB/s vs. ~5 MB/s more for the theatrical cut.

Darker scenes are mostly (but not always) better but when it gets brighter, particularly in exteriors or scenes like the Jennifer Connelly dance scene at minute 38, I can’t unsee the digital tinkering as it does some damage texturally.

I compared it with the Eagle Pictures and Warner Bros Fox Blu-ray of the extended cut and they all look fine without grain management like that. Eagle Pictures’s Blu-ray is an older one if anyone’s curious and credited to another authoring house than 64Biz, which did the 4K.

Other than that, except for some encoding-related chroma noise that peeks through in the DV layer, Eagle Pictures did everything right. They corrected the framing to 1.85, kept the original English titles, the English restoration note, subtitles, HDR/DV is gentle and respectful of the source black levels are better than on the Warner Bros/Fox Blu-ray. Without that grain management, this would’ve been the all-timer release we all longed for.

251 min cut: Fox Blu-ray (24-bit, Eagle Pictures is 16-bit, not audible)
229 min cut: Warner Bros LaserDisc (missing 2 minutes, but original mono mix was never released on DVD/Blu-ray)

Extended edition adds scenes cut from the theatrical, but from a much lower quality source. It's intended to approximate the original cut, but to what extent that is true is debatable.
US theatrical cut is infamously bad, was panned at release and never re-released on home video.

SF is in 1.66 aspect ratio. Whether this is the intended ratio or a compromise isn't clear.

American Film Institute's catalog and Variety's contemporary review list it as 1.66, but other sources disagree.
Exhibitor's contemporary review lists it as 1.85, IMDB and an internal pre-production note from Warner Bros. list it as 1.75.

The DV/HDR grade is tasteful and not overdone. SC has better compression, though not flawless; encoded by FiM, but Criterion also holds up quite well. Both releases claim to be approved by Lynch.

SC has a missing fade that Criterion reinstated.

The film was originally mixed in Dolby Stereo (matrixed LCRS). For the 4K restoration, this mix has been transferred from the original magnetic elements and remastered with Lynch's supervision. Unfortunately, the fidelity suffered in the process, with many sections ending up significantly less detailed due to a noise reduction pass. This track has been altered compared to the original, with reverb added to some dialogue, different ambient sound effects, changed panning, and extended bass.

For the unrestored mix, there are two major options, each with its own merits and flaws. The 2001 Paramount DVD, which I would say is the best well-rounded mastering, and the 1999 Japanese LaserDisc, which has noticeably better clarity and high-end detail, as well as better dynamics, but suffers from occasional distortion and has less bass than the DVD.

The LD also has some ambiance buried too low in the mix, and some dialogue panned more to the centre than the DVD. There are no content changes I was able to find. Unfortunately, I don't know what accounts for those differences.

The other available tracks all have more significant flaws. The Italian and Japanese BDs use the same base mastering as the DVD, but with some patching in a few shots. HD-DVD is sourced from an inferior transfer, the same as the Momentum DVD.

The 5.1 remix, originally introduced on the 2002 DVD, and carried over without changes to the 2009 BD is a light and mostly faithful remix, with fairly minimal LFE and surround use, but still potentially worthwhile as the only discrete track.

S1: OOP Shout! Factory Blu-ray
S2 & 3: Australia Blu-ray or Germany Blu-ray for the uncut episodes?

YouTube Premium is needed for superior bitrate

YouTube Premium is needed for superior bitrate

US GKIDS Blu-ray has bonuses not on the Disney Blu-ray, but the latter has some bonuses of its own not on the former.

Disney+ is streaming in HD with OAR

4K remaster is cropped 2.35:1 from the original 2.55:1 presentation, and has significantly different color grading, as is the case with most WKW supervised restorations. Due to DNR the detail is sometimes lacklustre compared to the old master. CGI scenes appear to be rerendered. A sepia tinted scene was altered to be fully black and white.

Caps: Criterion US BD vs Cannes HD-DVD, HD-DVD vs KR BD vs DVDs vs US BD

The remixed track has different front panning and little LFE use compared to the original.

HD-DVD is by far the best option for the original track, as DVDs and Korean BD suffer from noise gating, limiting and duplicated surrounds. Remixed tracks are all similar, but French disc has slightly better dynamics, particularly on the LFE channel.

The 2006 HD-DVD is a promotional release made in only 100 copies, handed out to VIPs at Cannes Film Festival. See this blog post for details. The same master can be found on KR BD, though it suffers from interlacing, blended frames and a gamma bug, as well as older DVD releases.