Everyone in the Kaleidoscope got the Gift, regardless of whether they were in their original homes. Any Kaleidoscope natives who were outside the Kaleidoscope at the moment of the Gift did not receive it. For hybrid species (like, I dunno, Trogdor or gryphons or something), if they're sapient they got the same pro-rated version that most supernatural creatures did - the less powerful their innate gifts, the more magic they got. Everyone got a minimum of Sovereignty and Becoming.
The real answer on dragons is that I tossed in references to a lot of different stuff while I was writing the game to give GMs license to pull in whatever crap they want that doesn't violate the rules or feel of the game. In my own game, dragons will probably be from the Kaleidoscope, with different versions on different worlds, some of them sapient and some not.
Outsiders with limited volition vary a lot, but they always tend toward the nature of their world. The more time they spend with regular people and/or away from their world, the less they tend toward that and the more they become their own person.
I hadn't thought about Gods, but given what the Worlds Beyond actually are, I would probably rule that they can't get the Gift. Some of them are very miffed about that. The outsiders they create could be given the Gift, though.
Curses and Mystic Servitors do not have Sovereignty. They're expressions of their creator's emotions, power, and skill, and have to either do what they say (servitors) or do what they wish in the moment (curses). That doesn't mean you couldn't use the sort of techniques that create Mystic Servitors to build a sovereign being with its own full independence, but that's a more sophisticated ritual and not the baseline Mystic Servitor. Creating a sovereign being out of a Curse just feels like asking to be punched in the face by it. :)
Basically, the checklist to see whether something can be given the Gift goes like this:
- Can it hold a conversation with you?
- Can it choose what it does?
If both things apply, then yes.
Edit to add: Things that were dead (i.e. ghosts) did not get the Gift originally, but can receive it now.