There's an Uber + SPG (Starwood) program but you need one stay with SPG. Those points can be then transferred to airline miles.

Dunno about mileage programs, but if you use certain Amex cards to pay for Ubers, you get double Amex MR points.

Even better, it's linked with Starwood, which is often more valuable.

https://www.spgpromos.com/uber/

Not exactly mileage program, but Verizon Up is super sweet deal. I get 20% off for both Uber rides and UberEATS.

Not at the moment, but I bet it will be soon...