What Surgery Will Fix my Asymmetrical Eye Shape?

This would be difficult to correct the asymmetry in your eyelids.  It seems that your lower eyelid in the right eyelid is lower than the left.  It would be possible to take some skin from the left eye to lower that and this would have to done very carefully.  The risks that this could not be exactly what you are looking for is relatively high. As most of the experts have mentioned, most surgeons would likely stay away from this situation.  You would have to accept the risk that it might not be completely what you are looking for.  Given that your eyes are already pretty, a surgeon would less likely want to do anything.  One thing to remember is that surgery is never as natural as what God created for you.  At least this is not the case at this time.

It is important to understand the various sources of asymmetry.  Some are treatable and some are not treatable. You did not supply a full face photo which would be helpful.  However, it appears that your right eye sits lower in the face than the left eye. This asymmetry is not so uncommon. This can't be changed without some intense surgical procedures that no reasonable person is likely to recommend for you. This is not the only source of asymmetry. The fold on the left upper eyelid hangs lower than the fold on the right side. This can be changed with a microblepharoplasty.

Often the primary reason to do eyelid surgery is for increasing symmetry.

Everyone's body is a bit asymmetric.  This is also the case for the eyes. I doubt that anyone would offer to try to make them  xactly the same because that is impossible.