I am unaware of any "left-handed" digital cameras. However, some old film cameras, such as Exakta cameras, were produced with the shutter release on the left side. Also, Nikon considered, and produced prototypes of, left-handed F100s (per Ken Rockwell).

Manufacturers have little incentive to produce "left-handed" cameras because the vast majority of people have no difficulty operating the shutter button with their right hand, regardless of which hand they use to write with. I am fully aware that some people may be missing or unable to use an arm, but it is not up to me whether manufacturers produce such cameras. Several of the options I mention are applicable to such situations.

• Use an unconventional grip. Some people operate two cameras simultaneously this way. Thumb on shutter button in right hand. Index finger on shutter button in left.

  • YouTube: Left handed compact camera

  • Ugly Hedgehog: Left-handed camera?

• With Exif auto rotation, cameras do not have to be held "right" side up.

  • Operate the shutter button with the left hand, with the camera in portrait orientation. This works for cameras that have the shutter button set at an angle.

  • Attach a power grip with shutter button to the camera. Operate the shutter button on the power grip with the left hand, with the camera upside down. Caleb's answer has photos to demonstrate this technique.

• Use symmetrically designed cameras, such as the Canon PowerShot N, which lacks a shutter "button". Most 360-degree cameras are also symmetrically designed.

• Use cameras that can release the shutter in response to touch input, such as the Samsung HMX camera you reference.

• Build a Left-Handed Camera Rig or purchase a left-handed camera grip/bracket (search your favorite shopping sites). Wirewrap suggests getting a pistol grip.

• Put the camera on a tripod or chest mount with an L-bracket to hold the camera upside down or sideways. Operate the camera with your left hand. This is the approach StessenJ used.

• Write a letter to the CEO of your favorite camera company.

• Learn to operate the camera with your right hand. Then you can use your left hand for other tasks, like writing notes or operating a computer. Similarly, right-handed people can learn to operate cameras with their left hands to free their right hand for other tasks.

  Aside from physical limitations, which hand to use is a matter of motivation. I am able to perform many tasks, including writing, with both hands. Discomfort is transient, and dexterity comes with practice. Being "right-handed" or "left-handed" means you have given one hand decades of extra practice. There is little difficulty if you learn to perform new tasks with either hand. Consider that no reasonable person complains about having to use their non-dominant hand for tasks that require both hands to work equally well, such as typing or playing piano.

Some pictures of alternative grips: