Apart from dog entanglements on shared paths, I have had a glancing blow (bruised knee, broken light) from a deer; a couple of near misses from wowbadgers; a feathery collision with a suicide pheasant[1] and countless tauntings by squirrels. Also several target-fixation incidents with large insects. (There's a surprising amount of mv2 in a bumble bee.) Oh, and I once piloted a tandem while my stoker - who shall remain nameless for legal reasons - kicked a low-flying pigeon.
I've also been held hostage by the Aston ASBO Geese, but that doesn't count, as I wasn't actually riding my bike at the time (I couldn't, there were geese in the way).
While we're on the subject of birds, they seem particularly keen to shit on my tourer. Often when I'm riding it. Bastards.
[1] On Watership Down no less. The rabbits must have been having the day off.