Is Super Mario Sunshine on Wii? No — GameCube Exclusive

No. Super Mario Sunshine launched on GameCube (2002). It is not a Wii game.

How to Play It on Wii Hardware

• Original Wii (RVL-001, model with GameCube ports) – Insert GC disc, use GameCube controller + memory card. Plays natively.
• Wii Family Edition / Wii Mini – No GameCube ports; cannot play GC discs.
• Wii U – Via Wii Mode + GC controller adapter (homebrew required for disc; eShop version never released).
• Nintendo Switch – Included in Super Mario 3D All-Stars (limited 2020–2021 release; delisted, physical carts still work).

Best modern way: Super Mario 3D All-Stars on Switch or original GC disc on launch-model Wii.