Okay, now I've seen the rest too. Comments:
You cut Bilbo's freakout when he sees the ring again, as well as his ensuing remorse. Why? It happens in the book and there's nothing un-purist about it. It makes for a harsh transition to the next scene too.
You removed Frodo asking Gandalf if Mordor is "left or right," which I felt was an appropriate illustration of Frodo's need for the company. Also, pacing.
You cut Merry and Pippin's antics with Boromir as they are practicing swordplay. This is okay, though it does build a relationship with the one who will save their lives. I can go either way.
The scene on the mountainside with Boromir picking up the ring is gone, which has pros and cons. It eliminates some of the suspicion building about Boromir, but we lose a poignant comment about the importance of the ring. I'd leave it in, but it's not necessarily a bad thing to lose it.
I agree about removing the conversation from the EE between Gandalf and Boromir about the weight of the ring, Frodo's shoulder, and a growing threat from within the fellowship. It removes some of the suspicion of Boromir. Plus it's kind of a dead weight scene anyway.
You removed Merry and Pippin throwing rocks, and Aragorn warning them not to disturb the waters. This is all right, but we lose what little of the buildup to the Watcher we are given. In the book it was Boromir who was throwing rocks, so I agree that I don't like having Merry and Pippin do it. It just makes them look juvenile.
You removed the "tomb" aspect to the entrance of Moria. This causes continuity and pacing problems, causing more harm than good.
You cut Pippin squeezing a skeleton, having the fall caused by him accidentally bumping it instead. Quite a clever edit; I like this one!
You cut the cave troll altogether. I trimmed it heavily, but having it totally gone removes the payoff of the Mithril subplot. :(
You removed the fellowship being surrounded by orcs, but this is jarring.
You cut Gandalf telling Aragorn to lead them on. This is thematically important. I suppose you meant not to imply that Aragorn needed to be told this.
You cut Frodo freaking out as Gandalf dangles over the bridge. I don't object to this in principle, but it's very difficult to hack up the movie's "guitar solo" and have it feel smooth.
When Frodo looks into the mirror of Galadriel, he immediately sees the Eye. I understand that since Sam wasn't present he couldn't see the Shire, but this way it looks like Galadriel was being a jerk. As soon as he peers in, there's the Eye screaming at him.
I like the removal of the line, "It is what will come to pass if you should fail." That is not true at all. Why didn't I think of that? (As long as it can be done smoothly.)
You removed most of Galadriel's speech about what she'd do with the ring. I agree that the film makes it look strange, but it's totally valid. I sure wouldn't cut it.
You removed the introduction to the elven bread as well as Merry and Pippin's associated antics. I'd cut the latter and not the former.
Sam doesn't ask Galadriel for a dagger, and this makes him seem less impolite. So, that's good, it fluid.
You cut Gimli's fluttering in answer to Galadriel, which I could go either way on.
You cut Galadriel's line about not seeing Aragorn again. In the film's version, this is true. In the book, they do meet again at the wedding. Meh, either way is consistent with itself.
You cut Gimli's complaining at Aragorn's directions, which I like. Shut up, Worf.
You totally cut 100% of the closing orc battle. We just suddenly see Aragorn run up to the dying Boromir. It makes no sense to the viewer, and is bad pacing. I'd be okay with this change in principle maybe, but not in practicality.
That being said, there are some truly good ideas in there! I hope you do another one for TTT and ROTK. I'd like to do another version of these edits in HD, but I do not have the hardware or the skill to do so. I'd feel kind of silly going back and updating these edits with anything less than HD at this point. So I think it'll have to wait.
But you never know.