You start with three Aspirations at character creation. Aspirations are goals that your character wishes to achieve, usually reflected in their backstory. They also tell the GM and your fellow players the kind of stories you'd like to see told during a campaign.
Accomplishing an Aspiration is a major accomplishment for a character. They gain 1 extra point of experience for achieving an aspiration, and they also gain 1 Hero Point.
Aspirations should be active goals--they should be things you need to do, not things you can avoid. For example "don't get drunk" wouldn't be a solid aspiration, but "stay sober for a week" could be, as could "find time to attend an AA meeting." Aspirations give your character a life an direction beyond the core story of the game, and provide fuel for side quests and plotlines that fill in the gaps between major events.
It's okay to select aspirations that your character doesn't want, but you as a player do want to see. For example, you can have "Fail to reconcile with your father" if you think that the failure would lead to better story for you and your character. You get the experience for achieving that aspiration anyways. Likewise, your character might not want to visit Hell, but if you think that would make a great story, it could definitely be an Aspiration.
Sample Aspirations include:
Increase my standing with the Blackcloaks or another faction
Find out why my sister hasn't called in a few month
Go on a date with that cute guy in Logistics
Visit another plane of reality
Prove that I'm not cursed
Meet an angel
Uncover evidence that aliens exist
Destroy the monster that killed my brother when we were young
Discover what happened to my father
Meet my childhood hero
Recover a lost family relic that was left behind when they fled the old country
Figure out what happened during those months I can't remember
Find my soulmate
Find out what was really living in the culvert near my childhood home
Prove that my mother isn't crazy
Put my daughter's ghost to rest
Take over my family company
If an Aspiration no longer makes sense for a character, due to changes in the story, you can change one Aspiration at the end of a chapter. This isn't an excuse to ditch a goal that is taking too long to accomplish, but rather is an option to keep a character's goals in line with their behaviour and the direction of the story.