Some other, older observations (the first one not mine, was reported to me):
We have a kind of gull-hawk here, amazingly it is the buzzard. Because we have quite a couple of artificial lakes and carp-breeding ponds in the region, we also have some big inland colonies of black-headed gulls here. The gulls breed altogether in thousands, and the buzzard just dives into them and gets a bird - the other gulls don't react!
Once I have seen a peregrine falcon chasing a hawk (with some phantasy it looked like a Me 410 chasing a Do 217), making a lot of noise either (I love to see peregrine falcons, but I hate to hear them - their sound is really embarrassing). The hawk had no other chance than to perform a Split-S maneuvre and to dive into the treetops.
A nicely coloured bird that uses to live here on river banks is the grey wagtail (contrary to its name, its beauty is caused by yellow and black patterns). With its long tail and short wings, the wagtail is not the best flyer. So I mean it was a case of hubris by the wagtail to go into a dogfight with a little blue dragonfly, trying to catch it in mid-air. The outcome was clear.
Sometimes I see air battles between crows and buzzards - with the crows being the attacker, trying to chase off the predator (the latter could apologize "being only on an observation mission" and deny any try of provocation).