Yes. Several. Just because they can't be explained does not mean that there isn't an explanation. The correct explanation is still just unknown.

All supernatural events by their very nature are not explainable. The mind sometimes constructs the impossible and perceives it as reality. It is our own misconception. The universe has not violated its basic constructs, It is in our heads and not of the world. Thus, supernatural.

Several, all my life, and if they cannot send me the winning Powerball numbers, just do not bother me!

No, but I do sometimes experience “deja vous” , and have wondered about what causes it. I think most of us will experience that occasionally....let me know if you know what I mean.

I once had a one night stand with a lady leprechaun. Was so unlike me.

Yes, once, and at the time it was very frightening. I fully believe that, given enough data on what happened, it would be possible to find an entirely non-supernatural cause and explanation.

by "they" do you mean the aliens?