Literal:
* The painting hung askew on the wall, tilted at an odd angle.
* After the earthquake, the bookshelves were left askew, their contents spilling out.
* The roof of the shed was askew after the storm, threatening to collapse.
Figurative:
* My plans for the weekend are askew because of the unexpected rain.
* His thoughts were askew, jumbled and confused after the accident.
* The political landscape is askew after the recent election.
Informal:
* "Don't worry about that," she said, "it's just a little askew."
* "Hey, your tie is askew," he whispered.
Remember: "Askew" implies something is out of alignment or tilted.