Can Any Surgery Fix my Asymmetrical Eyes?

In addition to the findings discussed by the other physicians, it is also possible that you may have bony conditions which contribute to the observed appearance. These are not typically corrected unless they are severe.

Unfortunately, it is impossible to know what is happening in regard to your eyes from a flat one dimensional photo. It appears not that one eye is larger (globe) but the fact that you have ptosis (drooping eyelid) on the left side makes your eye on the right appear larger.
This is very common and can be fixed surgically. If the right eye truly is more prominent other disease processes need to be ruled out including thyroid disease. You are best to be evaluated by an Ocular Plastic Surgeon (www.asoprs.org).
I believe that you can be helped but I also think that you need to have realistic expectations. I think you are being very hard on yourself. You may be best served by also speaking with a counselor to work out your self image issues.

Dear Need
I agree with Dr. Moelleken on a couple of accounts. First your right eye is more prominent and your left eye sits lower in the face than the right eye. However, it addition to these issues, the left upper eyelid rest about 1 mm lower on the globe than the right upper eyelid. This contributes to the left eye looking smaller. Ptosis surgery has the potential to improve this.
However, it is not normal for this type of small difference to be socially crippling. When these feeling exist, it suggest the presence of body dysmorphic disorder. Other signs would be abnormal preoccupation with these differences. An example would be spending hours a day obsessing about this problem. It is my expereince that there is no surgical cure for body dysmorphic disorder(BDD). The BDD brain is organized different than normal brains. This makes it very difficult to surgically help individuals with BDD because once one issue is improved, the brain will focus on how the fix was not every thing that was desired and as a result the person feel social incapacitated by embarrassment.
The best place to start is with psychotherapy to better understand why the brain fixates on these issues. Once you have insight regarding the BDD, it is usually easier to address the issues that benefit from surgery.