Netflix will keep the original Marvel TV series it produced, namely "The Defenders" and the four series focusing on each character, such as "Daredevil." As the Defenders are officially part of the Marvel Cinematic Universe, you may need both streaming services to keep up to date with the whole shebang.
You'll still be able to watch Star Wars and Marvel movies on Netflix through the end of 2018, and some older movies will remain on the service through the end of 2020. "As with Disney films, US Netflix members will have access to Marvel and Star Wars films on the service through the end of 2019 and 2020 in many cases," a Netflix spokesman said in a statement. "This includes all new films shown theatrically through the end of 2018."
Disney didn't respond to a request for comment.
Update, 3.50 p.m. ET: Added statement from Netflix.