Just a heads up. It appears that on Amazon Instant Video UK that The Matrix is now using a different transfer from the original DVD and Blu-ray. There is much less green tint now, and it seems they have gone for a more slightly cooler/bluer look. Big changes I have seen so far are in the first interrogation scene with Neo which is less green than before, as well as the rooftop scene where the sky is more visible than before and less green. There is probably more but I have only had a quick check through.
What led me to finding this was I had recently noticed that Amazon was changing the cover art on their instant video library of Warner Bros movies. I had already purchased The Matrix previously, and saw they had changed the cover art on the icon, so curiously checked to see what else had changed, and low and behold the transfer appears to have as well. I noticed they also changed the cover art for Se7en so I’d be curious to know if the transfer has changed for that as well (Unfortunately I don’t own that one on Amazon).
It is also worth considering whether these changes may tie in to the rumoured upcoming Warner Bros. 4K UHD releases.