Come on, surely levitation is not the most bizarre example you can think of? It's really not that uncommon:
Try Daniel Dunglas for example. 40 years of constant levitation and nobody managed to prove that he was a fraud:
Daniel Dunglas Home - Wikipedia, the free encyclopedia
Christianity is also full of levitating people:
St Joseph of Cupertino (Mystic, born 17 June, 1603; died at Osimo 18 September, 1663; feast, 18 September.) reportedly levitated high in the air, for extended periods of more than an hour, on many occasions.
St Teresa of Avila (born in Avila, Spain, March 28, 1515.She died in Alba, October 4, 1582.) claimed to have levitated at a height of about a foot and a half for an extended period somewhat less than an hour, in a state of mystical rapture. She called the experience a 'spiritual visitation'.
Catherine of Siena (1347-1380), levitation in states of ecstasy.
Hadewijch of Antwerp Flemish Catholic mystica (first half 13th century) is said to have levitated in state of trance.
Saint Philip of Neri (Born at Florence, Italy, 22 July, 1515; died 27 May, 1595.) supposedly went up several yards during prayer, even to the ceiling on occasion.
Ignatius Loyola (Born in 1491 at the castle of Loyola above Azpeitia in Guipuscoa, Spain; died at Rome, 31 July, 1556.) is said to have not only raised several feet but became luminous in the process.
Saint Robert de Palentinallegedly levitated eighteen or twenty inches.
Saint Dunstan (Probably his birth dates from about the earliest years of the tenth century.) supposedly rose off the ground a little bit just before his death.
St. John of the Cross (b. at Hontoveros, Old Castile,Spain 24 June, 1542; d. at Ubeda, Andalusia, 14 Dec., 1591)
And, at the beginning of the twentieth century Gemma Galgani, a Passionist nun, reported levitating during rapture.
Or are you really looking for levitation under monitored laboratory conditions, under scrutiny of many scientists? And would you like the experiments to be repeated again and again, scrutinised by different scientists, from different countries? Would you like her to levitate metal objects, and non-metal objects, and living tissue, would you like the scientist to test her by placing a bunch of objects before her and ask her specifically to levitate some objects but leave the rest alone? All done. Here:
Psychic Powers and Abilities | Nina Kulagina
Her levitation acts, in scientific labs, had been filmed many times, by many different scientists, over
decades.
Today, there are still a bunch of yogis in India who supposedly can levitate. Here's one chap who did it in 1936, in an open-air environment (no stage trickery or hidden props), for four minutes, in front of 150 witnesses, and people were allowed to walk all around him and take photographs from different angles:
Yogi Pullavar - Wikipedia, the free encyclopedia
Why should you be surprised that levitation is not at least possible?