I don't use GitHub for work, but it's always amusing to see the cries of people who do, when it does down from time to time. The ability of many companies around the world to continue operating depends on just one company continuously making the right calls.
In the future, when Ubisoft's servers go down, I won't be able to play Assassin's Creed games anymore, even though the servers don't really provide any value to me as a player.
On Spotify I keep downloading the same songs over and over again. Poisoning the environment more than if I got a CD. These days I try to buy songs to download once and then play in my favourite offline music player.
And of course SSH, the "secure shell", application which doesn't really optimize for shells. Responsiveness of typing things in the shell prompt relies on the quality of the Internet connection and the CPU load on the server machine - a process during which the server doesn't really have anything interesting to say.
I'm working on the side on creating a company and those opinions lead me to choose the harder path of desktop applications which don't need Internet connection for anything that doesn't require it by definition. They're more resilient and comfortable to use. I'll probably fail, but I really can't make any other choice at the moment, I need to at least try and see for myself.