Skypets, what may be the first airline loyalty program that lets pets earn rewards, was launched last month by Korean Air. Members of the airline’s loyalty reward program can sign up their pets to earn stamps.
Source: Los Angeles Times, June 3, 2017 (paywall).
For every domestic fight the pet has flown within Korea, the animal gets one stamp. An animal can get two stamps for international flights, including flights from the U.S.
JetBlue Airways and Virgin Atlantic also operate loyalty reward programs that give their members points for flying with pets, but those points can’t be redeemed toward free flights for the critters.