No, a black Wii—or any Wii model—cannot play Wii U games. The two systems are fundamentally different generations of hardware.
| Feature | Wii (All Models) | Wii U |
|---|---|---|
| Release Year | 2006 | 2012 |
| CPU | Single-core PowerPC "Broadway" @ 729 MHz | Triple-core PowerPC "Espresso" @ 1.24 GHz |
| GPU | ATI "Hollywood" @ 243 MHz | AMD "Latte" @ 550 MHz (DirectX 10.1 / OpenGL 4.0) |
| RAM | 88 MB (24 MB 1T-SRAM + 64 MB GDDR3) | 2 GB DDR3 (1 GB for games, 1 GB for OS) |
| Disc Format | Wii Optical Disc (4.7/8.5 GB) | Wii U Optical Disc (25 GB) |
| Backward Compatibility | GameCube (early models only) | Wii games (disc & digital) |
To play Wii U games, you need a Wii U console. The Wii U is fully backward compatible with Wii games and accessories (Wii Remotes, Balance Board, Classic Controller).