Apple hires SREs who are actually sysadmins that occasionally code, complicating the title somewhat. This is not unique to them.
nostrademons's explanation of SRE is the correct one, IMO. The architecture is key. Engineering has to be built to allow that. It has helped me in the past to say SREs are concerned more with the operation of a service than a group of machines offering a service; it's almost like a service operations developer. When a company thinks in terms of services and abstracts the machine away, i.e., containers, scheduling, Mesos, Omega/<unnamed>, intelligent CI/CD, service discovery, now you're getting into SRE territory instead of SA territory. The architecture involvement distinguishes SRE from devops for me. You should be able to trust SRE to build services, not just run engineering output.
Teams that congeal out of Xooglers tend to preach SRE well, and there is the occasional company (Twitter and Foursquare come to mind) that applies the title and interacts with the team as intended.