Can I get composite veneers with my overbite? (photos)

I don't see veneers as your first (or even second) choice but if you want to go that route start with gingivectomy to correct gum position.   Your teeth have a nice shape and color and can easily be whitened non-invasively  Best cosmetic result with will be from building up bicuspid and canine out to create full smile.  That said, veneers are not even close to the best approach.  
Consider orthopedic expansion of the maxilla to allow forward movement of the mandible which will decrease deep nasolabial grooves, improve your airway and help alleviate or prevent current or future TMJ issues, headaches, migraines etc.  Epigenetic orthopedics / orthodontics corrects the underling issues that were developmental in nature
This will result in a full wide healthy smile with physiologic improvements in you airway.

Your upper teeth are the one’s that show in your smile.  The more you do, the better the cosmetic result, but the upper eight will certainly do the job.

Bondings or veneers as a solutionThe difference between these two procedures is that with bondings  you will do them on the operatory but you will depend on the doctor skills but also they will be made of a material that sooner or later it will change color because it’s made out of a resin, and it will stain.The difference with Porcelain veneers is that you will be able to change the shape the size and even the color so that would make your smile more nice and even also you will be able to close gaps and to have the smile that you always wanted, also dental veneers are a long lasting term solution that you will enjoy for several years