How do I get a girl that's out of my league?

Since she's already out of your league, you've got to make up for it by being super confident and making a memorable impression. Make sure you're well-groomed, well dressed, and give yourself a pep talk to boost your confidence. Try striking up a simple conversation with her and ask lots of open-ended questions so she keeps talking. Pay attention to what she's saying so you can learn more about her interests while also showing her that you care about what she says. Try adding a little bit of flirting here and gauge her reaction. If she seems uncomfortable, then back off a little. But, if she returns your playful flirting, then try asking her out for a date!