Is Terraria on Xbox 360? No—Here's the Platform History

No. Terraria was never released on Xbox 360.

Platform History

• PC (2011) — Steam, GOG.
• Xbox 360: Cancelled — 505 Games announced port (2012), later cancelled due to engine limitations / certification costs.
• PS3 (2013) — Released (Bluepoint Games port).
• PS Vita (2013) — Released.
• Xbox One (2014) — Released (current-gen port).
• PS4 (2014) — Released.
• 3DS / Wii U / Switch / Mobile — Later ports.

Why No Xbox 360?

• XNA framework limitations (memory, sprite batch).
• Microsoft's strict 2 GB file size limit for XBLA (Terraria >2 GB with 1.2+ content).
• 505 Games prioritized PS3 (easier port from PC) and next-gen.

Playing on Xbox Today

• Xbox One / Series X|S: Full current version (1.4.4.9 / Labor of Love), cross-play with PC/PS/Switch/Mobile.
• Xbox 360: Impossible. No homebrew port exists (360 homebrew scene dead).

If you only have a 360, you cannot play Terraria. Consider Minecraft: Xbox 360 Edition (still playable offline/split-screen) or Starbound (PC only).