What are two ways to give an object potential energy?

One can move the object in the negative direction of a gravitational force to increase its gravitational potential energy.

If the object is elastic, you can deform the object under tension or compression (stress) to increase its elastic potential energy.

If the object holds a magnetic charge you can increase its electrodynamic potential energy by subjecting it to a stronger magnetic field.

If the object holds a static charge, one can increase the amount of charged electric particles (static) to increase electrostatic potential energy, also known as electric potential.

One can heat an object to increase its thermal potential energy.

One can slow an object down to increase it's rest mass energy (also potential)

One can introduce charged leptons or down-type quarks into an atom, which by emitting W and Z bosons can increase the weak forces, which will increase nuclear potential forces of an atom (bit of a stretch)