Other such occupations could include a Witchhunter, who must slay an evil mage and is given initial spells, a soldier, who goes through a day of training before being taken into battle, an alchemist, who would be taught to mix potions (Through another minigame like the armorer minigame, perhaps having to grind ingredients and put them to boil in an alembic or something), or perhaps a thief, stealing some valuable dagger. In any case, the player's occupation could be changable as they wish later in the game, with the option to take on up to 3 at once, and each offering its' own questline. In practice, this would be essentially identical to the class system, but now classes would actually do more than just select some skill bonuses and give you some aesthetic meaningless backstory. Imagine starting as an experienced enchanter whose shop is in a rough spot, teaching a young apprentice to use a charged soulgem on an item to enchant it with the fire effect, only to have your apprentice discover that he is the offspring of some evil mage who wants to come to come and kill his son.
Also, the option could be available for an "Unemployed" or "Adventurer" generic occupation, whereby a completely custom class may be chosen and an occupation would not be pre-selected. The game would start here with a more "One-size-fits-all" story start. Also, the player can choose to start as a prisoner, which would be a throwback to the starts of all the other elder scrolls games, wherein players start in some kind of prison or dungeon.
Oh, and just to clear this up, I wouldn't want this in the next game, I'd prefer it in the game after next, when there would be plenty of time to implement it. After all, there's bound to be loads of work that'd have to be done to make all those questlines start.