I'm still a fan of bitbucket. While I like Github if I wanted to open source some software, I like bitbucket for hosting my private repos. I can use this for backup for any project I'm working on and not worry about it. This could be for backing up config files (/etc/) on my linux box, or some project I'm wipping up that I don't really want to share with the world.
While Github is nice for its social and discovery aspect, if I just want code hosting, Bitbucket are a great solution.
Also, for those large companies that want to run their software internally, Bitbucket's solution is quite a bit cheaper than Github. I haven't had to setup either (or use either), but the pricing for Bitbucket makes it very appealing.