A319 Captain reported failure of a generator; autopilot; autothrust; and flight and navigation displays during cruise. Flight continued to destination and landed.

Narrative

In cruise at FL370; multiple ECAMs associated with an GEN1 fault and FAC1 (Flight Augmentation Computer) fault alerted; both my PFD (Primary Flight Display) and ND (Navigation Display) went black; and the autopilot and auto thrust failed. I took control of the aircraft a let my FO run the ECAM actions which restored my ND and PFD; FAC1 operation; and allowed us to turn back on the autopilot and auto thrust. We advised ATC in order fly our current heading. While my FO ran the ECAM actions; I started the APU when I saw the GEN1 fault. The audible alerts associated with the auto thrust and auto pilot were particularly disorienting and took us a minute to resolve and move through the subsequent ECAMs. The ECAM actions restored the FAC but not the GEN. I passed the controls and radios to my FO and conducted follow on actions. We contacted dispatch and asked for any further information from the technical department which came back with no other information. We jointly made the decision to continue to ZZZ. Approach tried to give us long delay vectors out over the ocean; but we reminded them of our status and asked for priority handling. Approach control reluctantly agreed and we landed without incident. Cause: While a GEN failure at altitude has been a theme in training; the compound nature of this malfunction isn't something we are exposed to enough. The alerts of the auto pilot and auto throttle were particularly disorienting until we matched and mashed and pushed the autopilot disconnect. More exposure to compound ECAMs with autopilot and auto thrust disconnects would be helpful. Additionally; I was under the assumption that a urgent advisory call would get priority handling from ATC; but ZZZ approach tried to vector us out over the ocean and was very reluctant to give use priority sequencing. I came close to requesting priority handling in order to avoid extended delay vectors.