Another bird to look into (and this is total bias speaking) are Quakers. I didn't like the look of most of the Quakers I met before Penelope, and did not think I'd really like them. Then I met Penelope, and decided I was wrong. She almost totally bonded to me in three months (mind you, she was a previously neglected and abused rescue bird), and loves cuddles and neck scritches and kisses.
Now, she's not sweet and loving and puppy like (as most conures tend to be); rather, she is bossy, sassy, imperious, and demanding, but that can be equally adorable, especially when she gets into her (frequent) "pet me, peon" moods where I get yelled and nipped at if I'm not petting and cuddling her. She doesn't beg for attention--she demands it, a trait I've found common in the few Quakers I've met. On top of this, if I'm busy, at work, or just crashed out watching a movie, she is completely content and capable of entertaining herself (the several hundred dollars in toys definitely helps on that front), but is fine when play time is interrupted if I want birdie snuggles.
The downside is that she is a tad nippy and quite cage aggressive, both of which people say Quakers tend to be, but I'm not sure how much is bad behavior from previous abuse/neglect and how much is natural. Still, her beak only can break skin if she gets you not paying attention and is really, really mad. Most of the time, it's just a light nip to tell you no.
I'd also check into Pionus. They seem to be very low key birds that one day (when I don't work and can spend all day playing with birdies) I want to own. Same with birds like Senegals and Meyers.