Structure of the first half of Leone’s The Good, The Bad, and The Ugly:

1. Title sequence
2. Showdown #1; The Ugly identified
3. Showdown #2 (and aftermath); The Bad identified
4. Showdown #3 (and aftermath); The Good (such as he is) identified
5. Back to The Bad; he beats a woman, showing how bad he is
6. Back to The Ugly; the strange gunshop scene, where he displays his strange character traits
7. (in the restored version) Added scene setting up the logic for the following scene; helps to space things out and show a little more of Tuco’s character
8. Back to the Good, via Tuco; Blondie shows how sensitive he is, with the gun-cleaning scene; the outside world interferes for the first time, saving Blondie and setting the rest of the movie in motion
9. (in the restored version) Back to The Bad; Angel Eyes’ eye-opening scene, where he is exposed to the effect of the war; some logic, to help explain why Angel Eyes returns when he does
10. Back to the Ugly, then the Good; the squabble resolves. Blondie is again saved when the outside world (the stagecoach) again interferes, thus giving a greater goal for the movie and setting the third leg in motion.
11. (in the restored version) Added scene setting up the logic for the following scene; helps to space things out and show a little more of Tuco’s character
12. Tuco and Blondie at the mission; Tuco’s eye-opening scene, where he is exposed to the effect of the war; Tuco’s character is fully established, making Blondie more sympathetic to him
13. Tuco and Blondie get caught up in the prison camp, to finally intersect with Angel Eyes
14. etc.

I’ll fill the rest in later. It’s all downhill from here. Very… clean.

The removed scenes mostly help with the plot. Only one (aside from the boot thing, which is lovely) strikes me as important to the tone of the movie; that’s the early scene with Angel Eyes. The others are all nice to have, and make the movie feel fuller. More complete. I can see why they were cut, though, if cuts had to be made.