Netflix's frontend has not have any real improvement in quite a while. "Share on Facebook"? "Kids Mode"? "Watched by Piper Chapman (Orange Is the New Black)"? C'mon!
Where's the Rotten Tomatoes or IMDB integration? Why does their search still have zero options to help you search? Where's Netflix's rendition of A Better Queue or Instant Watcher?
The shutting down of the public API wouldn't be such a big deal if they paid more attention to their frontend. It also seems that Netflix thinks that if they don't bring up the fact that there are movies that aren't on Netflix, we won't notice.
The next company that comes to mind is Craigslist. I know there are engineers there working on hard problems (the scale they operate on is amazing) but in the midst of the current mobile and UX revolution, all they've manged to do is add a frame around the results page so it's easier to search again?
OKCupid is another site that comes to mind where it looks like the front end is just stuck and has stopped progressing.
(Gmail gets a pass because Google just gave up and made Inbox instead.)