If you have an American AAdvantage credit card, and if you want to fly on some particular routes, you may be able to do so for only 6500 American frequent-flyer miles each way.
The discounted destinations change monthly. The list is shown as “Step 3” on this page: https://www.aa.com/i18n/AAdvantage/redeemMiles/reduced-mileage-awards.jsp
You can learn more here:
These reservations must be made by phone to 800-882-8880, but the usual telephone booking fee is waived.