Mine would be "Understand consciousness well enough to experience life from the perspective of other beings, both natural and artificial." (Possibly a subset of "Advance science", though a lot of it is engineering.)
That is, I'd want to be able to experience what-it-is-like to be a bat (sorry, Nagel), have other human cognitive architectures (like having certain mental disorders or enhancements, different genders), to be a genetically engineered new entity, or a mechanical AGI.
This goal is never fully satisifed, because there are always other invented/artificial beings you can experience, plus new scenarios.
I'd like to fly too, but isn't it more like a dream than a goal? How do you make incremental progress towards that?
Sometime ago Jonii wrote:
When I'm hungry I eat, but then I don't go on eating some more just to maximize a function. Eating isn't something I want a lot of. Likewise I don't want a ton of survival, just a bounded amount every day. Let's define a goal as big if you don't get full: every increment of effort/achievement is valuable, like paperclips to Clippy. Now do we have any big goals? Which ones?
Save the world. A great goal if you see a possible angle of attack, which I don't. The SIAI folks are more optimistic, but if they see a chink in the wall, they're yet to reveal it.
Help those who suffer. Morally upright but tricky to execute: James Shikwati, Dambisa Moyo and Kevin Myers show that even something as clear-cut as aid to Africa can be viewed as immoral. Still a good goal for anyone, though.
Procreate. This sounds fun! Fortunately, the same source that gave us this goal also gave us the means to achieve it, and intelligence is not among them. :-) And honestly, what sense in making 20 kids just to play the good-soldier routine for your genes? There's no unique "you gene" anyway, in several generations your descendants will be like everyone else's. Yeah, kids are fun, I'd like two or three.
Follow your muse. Music, comedy, videogame design, whatever. No limit to achievement! A lot of this is about signaling: would you still bother if all your successes were attributed to someone else's genetic talent? But even apart from the signaling angle, there's still the worrying feeling that entertainment is ultimately useless, like humanity-scale wireheading, not an actual goal for us to reach.
Accumulate power, money or experiences. What for? I never understood that.
Advance science. As Erik Naggum put it:
Don't know, but I'm pretty content with my life lately. Should I have a big goal at all? How about you?