William Challee

(still not great)

Criterion 4K Blu-ray is similar but has a short scene where the hum from machinery at the oil rig has been attentuated. It's a decent improvement over the previous disc which had considerable bass reduction.

HD restoration by Paramount from a 4K scan of the 35mm fine grain

Shout's BD has both cuts of the film in addition to the 3.0 stereo and  2.0 mono mixes making it the first time the full theatrical cut is available with the 3.0 mix. The new commentary is good. The 3.0 stereo sounds wonderful and the mono sounds solid.
That's where the positives end. This is the same terrible Universal DVD master slapped on a Blu-ray disc with a terrible encode making both versions share the disc separately taking up more space. This master was already poor for DVD and is nearly unwatchable here on the Shout disc. It looks virtually identical to the upscaled DVD most of the time with only a bit less noise due to it being 1080p. This is one of the most appalling cases of "DVD master slapped on a Blu-ray disc" you can possibly find. Absolutely shameful video presentation. This should have never been released this way. Sadly it's still ever so slightly better than the DVD and the only way you get the proper theatrical cut with lossless 3.0 stereo. This is still the best source we have for the film.