Southwest Airlines offers special senior discounts for people 65 and over. You have to prove your age, but there is a good discount to be had. It may not be their absolute lowest price, but it is close to that. A perk to this deal is that you may cancel your reservations at any time and get a full refund. American Airlines also offers a 10 percent discount to people over the age of 60, which is a flat discount on any ticket. US Airways also offers some discounts. Southwest is the only one offering full refunds on cancellations.