1e: It doesn't seem to particularly give a list (at least that I saw) and doesn't even say how to generate the ability scores. The order the things are discussed in are:
- Character Abilities (Ability Scores)
- Race
- Class
- Alignment
- Hit Points
- Languages
- Money
- Equipment
- Weapons
Two things-
1. The order is on PHB p. 8.
Each player develops the abilities of his or her character through random number generation (by means of dice rolling) to determine the basic characteristics of the persona, the abilities. The player then decides what race the character is, what the character's class is, the alignment of the character, and what the character's name is to be. The character will speak certain languages determined by race, class, and alignment. He or she will have a certain amount of gold pieces to begin with, and these funds will be used to purchase equipment needed for adventuring. Finally, each character begins with a certain number of hit points, as determined by the roll of the die (or dice) commensurate with the character's class. Class determines the type of die (or dice) rolled. All characters begin at 1st level.
So-
1. Abilities.
2. Race.
3. Class.
4. Alignment.
5. Name.
6. Languages.
7. GP and equipment.
8. Hit points.
Honestly, I think that the first four (which you have correct) are the only four that have to be done in the correct order. Abilities and race will determine what class you can choose. And what class determines your alignment choices. Everything else is whatever.
Next, on the issue of abilities. Yes, the DMG does have methods of rolling. But you have to remember the context. At the time of the PHB, 3d6 in order was the standard method. This is why there the PHB mentions that there are alternate methods in the upcoming DMG. The four methods are listed as "alternatives."
Alternatives to what? To the unstated assumption that people are using 3d6.