Asymmetric face, what is the best way to correct it as much as possible?

You have mild asymmetry and unless something particularly bothers you, I would probably not do anything. Best of luck.

Your face has a certain decree of skeletal asymmetry, so called hemicycle like microsomia. It is not that your right side is droopy, but that your left side of the face is smaller than the right. Correctly placed facial fillers can coumuflage the asymmetry pretty well.  It is an in-office procedure with minimal, if any, downtime. The second option to consider would be the placement of facial implants on the left side. Would suggest starting with the fillers first and take it from there. 

First, very attractive face, mild asymmetry more noticeable to you than any body else.I would sit with you and after examination and viewing your pictures on computer imaging (Mirror Imaging) to show asymmetry. Evaluate the differences and plan for correction. It could be fat transfer well placed and artistically filled. Other option is do not do anything. Rhinoplasty, nothing drastic but refinement of the tip to bridge.