I believe the 777 has max AOA protection
Not that I'm aware of, I'd better check the FCOM again....(see the edit)
It does have what is decribed in the FCOM as "Stall protection" which limits the speed below which the aircraft can be trimmed and also increases control column force when flying near stall speed.
I'd have to check the BA38 report again but as I understand it the autopilot disengaged due to it running out of authority. I suspect what then happened was the aircraft might have pitched in reponse to being out of trim, rather than there being some form of active AOA protection
(Edit to add: Just checked the current FCOM. The pitch envelope has stall protection and over speed protection. "Stall protection" is as I paraphrased above. So unless Boeing are hiding features from the operators the 777 has no direct AOA protection.)