The weirdest, and most "genuine" event for me is the Virgin Mary sightings in Zeitoun. This site's description follows, bolded mine:
"In 1968, while Americans were watching the Chicago riots at the Democratic Convention or live broadcasts from the Vietnam war, millions of Egyptians tuned in to broadcasts of a miraculous apparition of the Virgin Mary at a church in the town of Zeitoun, a suburb of Cairo. The amazing thing is that they were first spotted April 2 by a Muslim laborer named Atwa. He noticed someone walking on the dome of the Coptic orthodox church and said he first thought it was someone who was going to jump. He yelled at them to wait, then alerted passersby and fellow crewmen. Well, they all found out it wasn't just some woman. The apparitions lasted for 3 years and were broadcast by Egyptian TV, photographed by many professional photographers and also personally witnessed by Egyptian President Abdul Nasser. Over 1,000,000 people saw the manifestations, with sometimes as many as 200,000 people there at the same time. They all watched Mary pacing the roof and raising her hands in blessing - her robes being seen to move as the wind would blow. Dove-like objects would also appear with or around her and would move without flapping their wings, sometimes forming geometric shapes. The apparitions were believed to be responsible for numerous unaccountable healings, one which happened to be the finger of Atwa, which was full of gangrene and scheduled to be removed the day after he sighted the vision. Local seismic activity was 10 times greater than normal ...could this have had something to do with it or was it the other way around? Local legend said that the church had been built in 1918 by a man named Khalil, who said the Blessed Virgin came to him in a dream and asked him to build it. If he did, she said she would return in 50 years to bless it.
The local police, believing the apparitions to be an elaborate hoax, were unable to find any source of trickery. The government put teams of soldiers on a 15 mile radius search of the church to try to find any electrical devices or projectors which could be creating the images. Nothing was found."


Does this make me believe that Mary is still about and walking the Earth? Not necessarily. But it's definitely strange.