All of those!
1) Control - - I loved your post on another thread about the sense of control you experience due to owning. Yes, absolutely. I don't want anybody telling me that I can't decorate or alter my home if I want to. I loved being able to install keypad deadbolts on every entry door, for example. I could never do that in most rentals. Nor would I want to, because they were expensive (to me), and if/when I moved that would be money down the drain.
2) Security - - I am a woman and perhaps that explains it? But anyway, I am pretty much of a "security junkie". I like the idea that no landlord can tell me that I have to move out, ever. When I was younger and renting, that did happen and usually at the most inconvenient times possible.
3) Self Expression - - This too, to a lesser extent. I like being able to hang all the artwork I want on my walls. I like being able to use my home gym without worrying about the noise bothering the neighbors through thin walls.
But all in all, I hate to say it but my main reason for liking to own so much is (in my opinion) a female nesting thing. I like being settled in a cozy place that is safe and comfortable and welcoming and mine, where everything is the way I want it, and where I can stay for as long as I might wish.