It's bought and paid for, wiped away, forgotten, I don't give a damn about the past!
30 DAY CHARACTER DEVELOPMENT MEME;;

DAY NINETEEN (x)
Future:
What are their dreams? I know that this question intended to ask about aspirations, but Lyanna doesn’t really have any outside of ‘keep my family and other loved ones alive’ SO I’ve chosen to answer this question more literally and discuss Lyanna’s actual dreams. Like many other members of the Stark family, Lyanna is a warg; however, her connection to that ability is much, much weaker than her nieces and nephews, and she is wholly unaware of her ability. The only real time that it plays a part for her is when she’s sleeping– Lyanna has always had meaningful and sometimes prophetic dreams, often in them she is an animal (usually a wolf or coyote, although she isn’t always aware that this is what’s going on), and sometimes she is able to communicate with others through dreams. More often than not, though, her dreams are very shifty and metaphorical, which makes them difficult to interpret or understand. Lyanna is not aware that anything that happens in her dreams is necessarily meaningful, although she often has the same dream over and over again (perhaps the universe trying to get a certain message across). She very often dreams of other Starks, her son in particular, but she doesn’t always know that’s who they are. The night that Ned was attacked in King’s Landing, Lyanna began having dreams that she and Ned were in the weirwood together, and she knew he was there with her, but she could not find him. Most often, she dreams of snow, of ice, and of the wall. If her son is not in her dream or she cannot feel his presence there, sometimes she will look over her shoulder and see a crow (even if it does not make sense for a crow to be there). Every once in a while, Lyanna dreams of Winterfell specifically, and she wanders the halls of her childhood home barefoot and in her dressing gown, as though sleep has transported her there. People cannot see her and she believes that in her dreams, she is a ghost (although that’s probably not the case, I would theorize it’s more of a form of astral projection).
What do they want to do someday? Save her family. Drive the Boltons from Winterfell. Put an end to the injustice. Right the wrongs. End the tyranny. Restore the throne. Protect the forest. Introduce folk dancing. Demand a four-day workweek and health care for Saxons and Normans.
Are there places they want to go? Where and why? I mean if Lyanna’s family weren’t in immediate and unceasing PERIL, I suppose she would want to travel the world someday, with someone she loved (ideally with Jon, too). No one place in particular, just an endless wandering, to discover all manner of places and people and experience everything the world has to offer, and learn everything she can.