I am wondering what happens to The Axiom and its robots after the humans inhabited Earth again. Wall•E and EVE will love each other forever, while AUTO is useless on Earth.
The various robots were forced into back-breaking servitude, until their inevitable deaths, as can be see in the film's final, horrifying, sequence.
EVE is forced to dig irrigation ditches, Wall•E is made to use his welding laser to start camp-fires, TYP-E has to plant seeds, D-FIB is pulling in fishing nets, PRT-E is seen taking care of children, BRL-A is waiting on humans and sheltering them from the sun, SECUR-T bots are made to carry heavy loads of construction materials, VN-GO is painting interior walls, etc.
And as you can see in the final image, the Axiom never flies again. It's stripped of its lifepods and various useful parts and then left to rot.