I myself am lucky enough to have great broadband, but I've been getting annoyed with how series will move on/off the service (I see monthly "What's leaving Netflix this month" articles in some places), I'm annoyed with how Netflix has made their system "pushier" (such as constantly looping ads), how they gave me an ability to build a personal want-to-watch list and then hide that away making it hard to benefit from, and in particular, how I now have to balance multiple subscription services if I want to see the shows I want to see.
Side Note: As annoyed as I am with Netflix from time to time, they beat the pants off of Hulu when it comes to interface, and remain nicer than Amazon.