Lots of snakes. A pigeon committed suicide in my spokes once. So did a magpie.
A ground squirrel...I know you said no squirrels but this wasn't one of those bushy tailed tree climbing ninjas

...did a dance in front of my tandem as I came down off Vail Pass. Grossed my wife out when I told her what that 'crunch, crunch' sound was
Two geese tried to assassinate me once. One flew under my arm and the other across my back. Trying to control a bike while a couple of mad geese try to beat you to death with their wings is extremely difficult. My ride partner (who scared them into the air to begin with) thought it was hilarious
I've seen a couple of geese smack into trees and fall to the ground (it doesn't do them any amount of good to hit a tree

). They may have been trying to finish what the other geese started.
I've had black birds that were offended by my helmet attack me.
And I've killed a dog. The car killed him but he was jumping a fence to chase me and my dog. Sailed over the fence as pretty as you please and right into the grill of an 88 Olds Cutlass. Eww.