There's quite a good bunch of them and I'd even dare to say, Xbox 360 is a fantastic platform if you're after a great dose of Western genre games. Call of Juarez [Demo Available on Digiex] Call of Juarez: Bound in Blood [Demo Available on the Xbox Marketplace] Call of Juarez: The Cartel Call of Juarez: Gunslinger [Demo Available on Digiex] Gun Red Dead Redemption Red Dead Redemption: Undead Nightmare The Gunstringer (Kinect Required) [Demo Available on the Xbox Marketplace] One of my favorite Western games was released on PC, and it was called 'Desperados: Wanted Dead or Alive'. I kinda wish it had been given a console release though it admittedly works a lot better with a mouse than a controller. P.S. If I missed any, please feel free to let me know and I'll add to the list.
I was about to suggest Desperados, the noticed you had played it. That's pretty old now however I remember that been very good on PC. I've played Red Dead Redemption a few times, however never managed to get in to it. Maybe its one I should give another go with Red Dead Redemption 2 on the horizon.
Red Dead Redemption was such an amazing experience of a Western game and I loved every moment of it, unfortunately once I did there was all to it, the game's life just ended. Red Dead Revolver is backwards compatible on Xbox 360 but very glitchy. Heh, I somehow left out the word 'favorite' when talking about Desperados Wanted Dead or Alive.