I have several shotguns that are truely left handed. A Winchester 12ga. model 1200, a Remington 11-87 12ga.. The Remington is still in production, the Winchester is readily available and easy to find on internet gun auction sites. Most major manufacturers are offering left and right hand versions of their popular models. Have a left hand bolt action 270. Savage rifle also.
If you're left handed you need to try the products that are made for lefties. The more demand the more that will become available. Good Luck in your search.