The bug described in this thread is still present for me to varying degrees in certain planes: The dolphin dance is back in 1.9.3.0 (pitch oscillations) - #172 by DesertWolf1557
I will keep the list below updated with my findings for planes that I have had a chance to test. Note that this list only represents my personal experience with these planes unless otherwise specified, and is not exhaustive (eg. I haven’t tested every single autopilot mode, only the ones I’ve mentioned for each).
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Citation Longitude: The one affected the worst so far. Oscillations vary according to altitude, getting progressively worse the higher I am. It is barely noticeable below 8000 feet, easily perceivable at around 20,000 feet, and at 41,000 feet it oscillated so hard that it stalled my plane multiple times. Oscillations happen in ALT hold mode, VS mode, and FLC mode. Speed appears to be irrelevant, but changes in thrust may make oscillations worse sometimes. Slow roll oscillations occur sometimes in NAV mode as well, but not in HDG mode so far.
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TBM 930: Oscillates during climbs in FLC or VS mode. It can hold its current altitude in ALT mode up to its service ceiling without noticeable oscillations. Speed appears to be irrelevant. Slow roll oscillations occur sometimes in NAV mode as well, but not in HDG mode so far.
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Citation CJ4: Only mild oscillations during climb in FLC mode. No noticeable oscillations in ALT mode up to its service ceiling. No noticeable oscillations in VS mode. Speed appears to be irrelevant.
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747-8: Used FL CH with auto throttle off to climb and had no issues until around 37,000 feet, at which point slight oscillations began. Switched to VS mode and oscillations stopped. Switched back to FL CH mode and oscillations began again. Was able to hold altitude up to service ceiling without noticeable oscillations. Speed appears irrelevant.
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Beechcraft King Air: @StageSIXcup shared a video showing the King Air experiencing pitch oscillations in this post: 1.9.5.0 - autopilot dolphin dance (oscillations) still an issue - #63 by StageSIXcup
Planes I’ve tested with no issues so far: DA62, Grand Caravan EX, A320neo, Bonanza