| name | image | Average flow (m³/s) | basin (m²) | Height (m) | origin location | mouth location | Length (m) | latitude (°) | longitude (°) | canyon | Map |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Acheron River (Canterbury) | Rakaia River | -43.3983749000 | 171.5695381200 | Map | |||||||
| Mathias River |  | Rakaia River | 17,000 | -43.2833333333 | 171.2500000000 | Map | |||||
| Wilberforce River |  | Rakaia River | -43.3333333333 | 171.4333333333 | Map |