Is Counter-Strike 1.6 on Xbox 360?

No—PC Exclusive

Counter-Strike 1.6 was never released on Xbox 360.

• Original CS (1.0–1.6) is a Half-Life mod for Windows/Linux/macOS.
• Xbox 360 got Counter-Strike: Global Offensive (2012)—a separate, later game.
• Xbox / Xbox 360 had Counter-Strike (2003)—a port of CS 1.0/1.1 with different maps, no updates.

Playing CS 1.6 Today

• Steam (PC): Free, active community, 128-tick servers, workshop maps.
• Android: Ports like CS 1.6 Mobile (unofficial, touch controls).
• Steam Deck / Linux: Native via Proton.

If you want tactical 5v5 on console, CS:GO / CS2 is on PC only; Valorant PC only; Rainbow Six Siege is on PS4/5, Xbox One/Series.