Have you seen anything that defies conventional explanation?

Ghost? Unidentified flying object? Time slip? I'm not sold on such phenomena completely, but it seems arrogant to say it's not possible. I don't believe in God, due to a serious lack of evidence on the subject, but I could be proven wrong if I witnessed something that undeniably proved God's existance. I feel very comfortable saying I believe there is intelligent life outside of our planet, and that they have visited us. I don't believe in life after death, but haven't seen any apparitions to make me think otherwise. I did once see what I believe to be an alien craft, but I won't say more because I'll use it in my writing somewhere. I know that sounds crazy, but seeing is believing.