What procedure would help show more of my teeth when I smile? (Photos)

The technique I
recommend is a lip lift.  This procedure
does 4 things: shortens the distance between the nose and upper lip, rolls out
the upper mucosa, increases incisor show and pulls up the corners.  In your case, you mostly need the corners
pulled up and not the central area.  Best Wishes,Gary Horndeski, M.D.

Theoretically lip lift. But the key thing is what's the lenght of your philtrum? Lip lift is an excellent technique for shortening philtrum, augmenting upper lip & improving teeth show, but - as it's irreversible - the patient should have appropriate distance between upper lip & nose base. Judging from the photos provided, I don't think you qualify because of your short philtrum. 
best regards, 
Piotr Osuch, MD, PhD

From my experience, a Lip lift procedure is probably the best option. Consult a surgeon who has lip lift experience in men to get good natural results. Consultation is the best way to start. Best wishes.