If you have one old Wii connected to watch it Netflix you will have to find an alternative as Netflix stops supporting on January 31, 2019.
Netflix already sends emails to his clients with a relevant announcement, to them warns that Nintendo will launch after 31 January 2019, a "suspend" of Netflix as well as other video streaming services for the Wii. Termination will come as the Wii Shop closes and the 2006 dating console will be useful only to play offline games.
Netflix isn't suggesting an alternative, other than for users to buy something newer material. Specifically states: “We hope you enjoy an even better Netflix experience soon in a supported device".