Nintendo is permanently suspending all video streaming services on the Wii console, including Netflix, on January 31, 2019. The official statement from Netflix is as follows:
Unfortunately, Nintendo will suspend all video streaming services on Wii—including the Netflix Channel—after January 31, 2019. We hope you’ll soon enjoy an even better Netflix experience with additional features on a supported device. Please visit netflix.com/wii for our device list.
Source: Reddit.com