This does happen!! I was sunning on a rock on a lake a few years back and heard a commotion on the water behind me. When I turned to look there was a young bald eagle rising off the lake with about a three pound largemouth bass in it's claws. I watched as the eagle flew up toward and over a high ridge and was surprised to see the fish fall from about 60 feet over the hill. The eagle did not fly down to retrieve the bass. There is a trail along the ridge and I couldn't help laughing wondering if there were any hikers on the trail to see a fish fall from the sky.
My dad had a small black cat named "Boots". The cat lived outside on their large deck but ventured into the woods now and then. Boots came up missing for 2 days. Then dad called and said come on down here son. Boots was back on the deck but was having trouble walking and was obviously hurting. Something was wrong with her hind quarters on both sides. Boots went to the vet. A few hours later the vet called and said boots had talon holes on both back quarters. He said an owl, hawk or eagle had probably swooped down, grabbed Boots and took off. He stated the cat had probably launched a mid-air battle and "won" but we dropped into the forest canopy. The cat made a full recovery and is now 16 y/o still living on the deck with the new owners.