I had a deer come out in front of me close enough that I could have tackled him. This wouldn't have been good. Last week I had one run parallel to me for about 30 yards before taking off away from me. Oddly I don't encounter many squirrels, but I know they are around. Occasionally rabbits, and I did clock a bird with the right pedal(!) once, but he lived.

There are a lot of bike riders in Los Altos, and I have seen two detached tails on the road, one squirrel, one possum.

My dad hit a wild turkey this summer. It was delicious.

At least it wasn't this [http://cheston.com/pbf/] look.

squirrels - I don't swerve, they are quick and small. Its up to them if they make up their mind and move they'll make it, if not, paws up.
cats - never been unlucky with one of those
dogs - hate em. I've only been back to biking for a month or so so I haven't had any run ins but on my motorcycles, I just judge the angle of attack, if they don't have a good angle, twist the wrist and blow past em. If they are smarter and cut me off I go right at the rat bastards, twist the wrist at the last second to lighten the front, they'll pause, I swerve a bit and try to stiff leg kick the crap out of em (I always miss).
Neighbors - worse than squirrels, not quick, more unpredictable
Birds - duck, got hit by one on a motorcycle once. Not pretty.
Deer - pray.

So far since I've been back to biking the only object I've hit is a construction barrel. Darn thing came out of nowhere. Actually I was riding in a pace line eased to the right to take a look ahead and BAM. Fortunately it was laying on its side, I reacted fast and skipped off it back to the left. Scared the crap out of the two riders behind me though.

Yes.. twice lately squirrels have run right across the road in front of me, scaring the cr@p out of me! I don't want to run over the poor things. I also shooed a groundhog out of the way... just go SSSSSSSSSST! it works for most critters.