I draw a distinction here between railshooters (where the player is visible) and light-gun shooters (Only a targeting reticule is visible, played with a gun peripheral).

• Galaxy Force II
• Panzer Dragoon
  • Panzer Dragoon Zwei
• Rez
• Space Harrier
• Star Fox
  • Star Fox 2
  • Star Fox 64
• Sin and Punishment

• Dead Space: Extraction
• Vanark

• Panzer Dragoon Orta
  Not much chance of me buying an XBox, and emulation still aint great.
• Vyper
  Looks neat, but was only released for the Mindset PC. See: Mindset-The graphics workstation you've never heard of!.