Great stories of close calls!
I adopted my kitten Zuri back in 2007 and was always super careful to check on where all my pets were before I left for work. I thought I had witnessed Zuri elsewhere before I closed the bird room door, but somehow, Zuri slipped in un-noticed. I worked 8 miles away from home but always came home for my hour lunch so I could walk my dog. I came home, walked the dog, checked on my new kitten... and no kitten. I also went into the bird room because I liked to give them a fresh fruit or veggie treat whilst I was home for lunch... and there was Zuri, my tiny 10 week old kitten, laying in the middle of the floor of the bird room -- having been in there unsupervised for 4+ hours!!!! She had all her limbs, paws and eyes intact. I knew darn well she had probably poked her front legs/paws through their cage bars or at least pressed her little face up against the bars! All 4 parrots were standing on the very bottom of their cages watching her! I could have sworn Snickers, my CAG, winked at me like "hey lady, we knew it was just a kitten -- we didn't hurt her! lol But seriously, with a territorial macaw and rambunctious YN Amazon... I was so grateful my new kitten was okay and unharmed.
You can bet I double checked her location after that! Though she grew up to never bother the parrots and often accompanied me in there during parrot feeding/cage cleaning times. Like Neoow, I always separated the cats when I let the parrots out loose in the rest of the house.