Here's some incidents that have happened at night, from just the first two pages of a google search:
2020 - Sedgewick County Zoo, roof of Tropics habitat was damaged, plus restaurant and storage area, by vandals. They didn't get into any animal areas and security caught them.
2019 - Santa Ana Zoo, teen breaks in and steals a ring-tailed lemur. Several lemurs and capuchins escaped through the hole he cut. The animals were all caught, and the teen left the lemur at a hotel (with a note about where it came from, because there's so many lemurs around...?)
2019 - Wright Park Zoo, an adult capuchin is beaten while trying to protect his son from being stolen. The younger one was found outside of town.
2017 - Thoiry Zoo in France, poachers kill a white rhino and steal his horn.
2016 - London Zoo, teens break in and record themselves in different enclosures, petting animals and getting bit by a llama. They were chased out by security before getting to any of the cats.
2016 - Baton Rouge Zoo, three spot-nosed guenons are killed by dogs who got through a fence.
2012 - Zoo Boise, a patas monkey was beaten to death by an intruder. A security guard scared off the two intruders before they could do more damage, but the guard didn't know about the monkey until it was discovered the next morning.
2012 - Belfast Zoo, some ponies are let out of their enclosure.
2011 - Lincoln Park Zoo, someone broke into the basement of the lion house and stole $3,500 worth of equipment. Thankfully they weren't interested in the animals.
2010 - Albuquerque BioPark, 8 college kids break in and take photos of themselves going under and over fences, into enclosures, and petting and feeding animals. Animals included giraffes, sea lions, and rhinos, among others.
2007 - Ellen Trout Zoo, 5 blackbuck are killed by a dog (or dogs) who dug under the fence. They all had bite marks, but they were non-lethal; they were most likely killed from trauma from running into fences trying to escape.
2004 - Adelaide Zoo, a man breaks in at night and steals a squirrel monkey. He's caught the next day, with no harm to the monkey.
2002 - Dresden Zoo, someone breaks in and lets out a cheetah. She kills 10 kangaroos.
2002 - Adelaide Zoo, someone kills 16 guinea pigs and steals several more.
1999 - SeaWorld, a man stays in he park after closing and climbs into one of the orca pools. He is found dead the next morning.
1987 - Prospect Park Zoo, young children break in and an 11-year-old is killed after climbing into the polar bear exhibit to swim in their moat. One child escaped and a third never went in. Both bears are killed by police, who arrive after someone calls 911 because they heard the screaming from the zoo.
1985 - Adelaide Zoo, 64 animals were killed, either beaten or having their throats slit. Most were in the children's zoo - sheep, goats, rabbits, guinea pigs, an antelope, a llama, and 8 baby kangaroos, plus 3 rhea and an alligator.
In several of these incidents, the perpetrators gave some indication that their goal was to get to big cats but they were prevented in some way (security, animals being inside, etc.) No zoo wants to deal with the media attention, the trauma, and the possible death of their animal(s) if someone manages to get into a large predator exhibit.