This thread was a very interesting read - I have a few things I can add.
I have a lot of deja vu. It's usually just random, mundane stuff that I will have experienced a few days prior in a dream. A certain person saying a certain sentence, seeing some one or something at a specific angle at a specific place. I'm more used to it now, but sometimes it'll catch me off guard and 'freeze' me for a moment or two.
There was one occasion where, in my sleep, I saw a fire engine as I rounded the corner at the end of my road, with smoke pouring from behind the nearest house. A few days later in reality, I rounded that same corner, and witnessed the exact same scene. The house owner's old Land Rover has caught fire. On an unrelated note, that was the beginning of a downward spiral for the couple living in that house; the man began to abuse his wife, usually in a drunken haze. One night, in an equally drunken haze, she shot him to death.
I also have a weird thing where I'll think of a current musician that hasn't released anything in a while, and usually within 24 hours, I'll hear a new song of theirs.
Okay, now for the big one.
I was walking my dogs one evening (Autumn of 2015), along a trail close to my house. I heard a plane engine and looked up, and sure enough, there was a plane there. It looked like an old WWII plane rather than the Cessna-esque stuff I tend to see about.
I watched it fly for a few seconds, and I then noticed that it seemed to have a secondary yellow silhouette just above it, in the shape of the plane. At that moment, one of the dogs jerked on its lead, and I looked down for just a second. By the time I looked up, the sound has ceased, and the plane had gone.
Not being a very knowledgeable person when it comes to planes, I couldn't identify it off that sighting alone. It had left me curious, and thus I searched for WWII era aircraft that fit the description. Eventually, I found the Junkers JU-88, which matches what I saw perfectly.
It was fairly obvious that the plane hadn't teleported in the half a second I spent looking down at my dog, so that's when the paranormal factor really took hold in my head. I found a website with a list of WWII crashes on the Isle of Wight, and sure enough, that exact type of plane had crashed less than a half mile from my location at the time.
http://www.islandeye.co.uk/history/air_crashes_of_wwii/german-junkers-ju88-7t-jh.html
I'd like to think that the spirit of those who perished were finishing their flight.