The Last of Us on Xbox 360?

No. The Last of Us is a PlayStation exclusive franchise developed by Naughty Dog (Sony Interactive Entertainment).

• Original: PS3 (June 2013).
• Remastered: PS4 (July 2014).
• Part I (Remake): PS5 (Sep 2022) / PC (Mar 2023).
• Part II: PS4 (Jun 2020) / PS5 (native) / PC (Apr 2024).

There are no plans for Xbox, Switch, or non-PlayStation platforms. Sony owns the IP outright.

Similar Games on Xbox 360: The Walking Dead (Telltale), Alan Wake, Metro 2033/Last Light, State of Decay, Deadly Premonition.