I have a few.
1: I went out drinking with my military buddies. I was not driving. We closed the bar and I was feeling no pain. When we walked outside, there was a calf (baby cow,) standing there staring at us. Thankfully, one of my friends had another friend who owned a farm...they came and picked up the calf. To this day we don't know where it came from.
2: I used to smoke, but I sat outside on my stairs because I didn't want my pets & kids subject to second hand smoke. I went out at about 1 am to have my final cig of the night. I heard this erratic *clonk* *clonk* and turned to see a young skunk who had a McDonald's McFlurry container on his/her head. I decided that being stinky was preferable to this little guy dying of thirst, so I managed to get it off him/her. Surprisingly, I was not sprayed.
3: I went out very early one morning to have my first cig of the day, and since I had just gotten up, I put a baseball cap on over my messy hair. I heard what I thought was a bee buzzing, then saw little feet on my brim. It was a hummingbird who decided to rest on me.
4: I live in the Berkshire mountains in MA, and it's country out here. My dog was barking, going absolutely nuts. We had a motion detector light in the rear of the house, and it had gone on. I peeked out the window, hoping to see a coydog or fox....and I swear there was a mountain lion. Supposedly they are extinct in the NE, but I can promise you they are not.
I'm the person everyone calls when they find a fawns, nestlings, etc. Suprisingly, I have never owned a wild animal, but every animal in my area knows me from weird random encounters. It's kind of flattering that when my local wild animals see me and hear my voice, they don't feel the need to rush off...they just kind of give me a head nod and continue foraging.