SR-22 Flight Instructor with student reported an alternator failure during cruise on a training flight. The failure caused other electrical component failures; the flight diverted; and landed safely.

Narrative

Before departing ZZZ; I (the instructor) noticed that the number 1 alternator output was variable. Having experienced this prior in this aircraft; both myself and the student assumed that this was an erroneous reading. Previously; a maintenance provider had informed us that they believed it was related to a sensor issue; and asked us to monitor it in the future. With that being considered; I decided that since the flight would be conducted in VFR conditions along the route of flight and it would be favorable to get the aircraft to maintenance in ZZZ1; to conduct the flight as planned. During the flight however; I noticed that even at high RPM settings; the output of the number one alternator was very erratic. When a steady discharge was shown; I began running the ALT 1 FAIL checklist; as prescribed by the POH. After completion of the checklist; I notified ZZZ Center that I was [requesting priority handling] and I would be diverting to ZZZ2. Later; a pilot departing from ZZZ2 informed me that ZZZ2 would have better maintenance; so we changed our diversion airport to ZZZ2. We experienced a MFD (Multi-function Flight Display) fail; flap motor fail; pitch trim fail; Autopilot fail; intercom fail; right pilot PTT (push to talk) fail; GPS2 fail; transponder fail; and fuel indicator fail. I was able to land the aircraft safely at ZZZ2 with no damage to the aircraft or injuries.