As I understand it, both Russia and Ukraine have admitted carrying out some limited shooting in the vicinity of the reactors.
Russia admitted shooting on some nearby "training buildings" in March, during what it says was an Ukrainian infiltration. (Footage shows at least shooting from BMPs and possibly RPGs, but I'm not sure Russia has admitted to any specifics, besides shooting at the training complex.)
Ukraine admitted dropping some small bombs or grenades from drones on the Russian troop encampment that was there in July, but has since been evacuated. (Ukraine themselves released footage of the drone attack.)
As far as I can tell, the contested-origin damage consists (at least) of
- a "rocket explosion" near the spent nuclear fuel storage
[Dutchman] Zwijnenburg says the debris resembles a BM-27 Uragan short-range artillery rocket. Both Ukraine and Russia use the rockets, but they're usually fired in groups, or salvos, he says. The appearance of just a single weapon is "very strange."
"It's hard to establish the trajectory of the missile that hit the facility," he says. It may have been deliberate or a misfired weapon from either side.
- three holes in the roofs of two buildings near the reactors. (These appear to be different/larger than the roof holes made by Russia's BMP firing in March. I'm not sure if those larger holes are in the turbine buildings in which Russia parked military trucks at one point. Also not clear if those are the roofs from where Russia seemingly claims its troops shot down Ukrainian drones. Actually, the TASS report is different than what Reuters says Russia said on that. According to TASS, the ("kamikaze") drone was shot down and "fell down on the roof of the plant’s special building". TASS also seems to claim that the drone's actual target may been a different building, the "spent nuclear fuel storage facility", which interestingly is the same one near which the previously mentioned "rocket explosion" took place.)
- explosions in the residential area of Enerhodar, where I understand the staff [normally] sleeps, but it seems this area is about 3-4 km away from the actual reactors (judging from google maps).
Are there other significant & contested incidents close to the reactors, resulting in actual damage? (Also, have any of those I listed above as contested have actually been admitted as either intentional or accidental attack by their own side, so as to remove them from the contested list?)