...I saw a squirrel do that once. No, wait, that's not quite right. My father in law, who was riding immediately behind me, is the one who saw it. I only saw the squirrel fly up into the air just to the left side of my front wheel, where he was subsequently booted by my left foot and pedal as it continued its circular path around the crank. The squirrel landed a few feet in front of my wheel and continued its path across the road, to the sound of uproarious laughter from the bicycle behind me.
About 40 years ago, I had a cat pass under my Yamaha RD400 as I passed at around 25mph, which I would have thought impossible until it happened.
I looked back and saw the cat make it to the other side of the road, tail intact. ...Cat must have been going almost 20mph(?) (it's a short-wheelbase motorcycle).
It might have hit the exhaust pipes, but I didn't feel it.
Gad, I still have that bike!