Levitation

Levitation refers to raising an object against the force of gravity in such a way that it remains suspended without any physical contact. It is quite possible to do this without leaving the realm of physics, the most usual being magnetic levitation, where the force of magnetism is used for this purpose. It is also functionally identical to hovering in flight, which can be done by helicopters and hummingbirds, though the term "levitation" is practically never used in these cases.

In terms of pseudoscience, levitation refers to the ability to manage this raising by the power of the human mind. This has never been demonstrated much less repeated  under controlled conditions and is consequently a pseudoscience.

From fiction to non-fiction
is a well established theory stating cannot levitate in mid-air in a static enviroment. It was considered for a long time that magnetic-based levitation was impossible, until in 1984; the top was patented by  The theorum wasn't wrong, according to Theodore Gray:

Physicists were shocked to find that levitation was a reality, all because of a misinterpretation of the theorem. The second loophole involved

Harrigan's patent resulted in the creation of a toy called the one variety of which can be seen here:

Stage Magic
Levitation has been a long-standing element of stage magic with various tricks being based on objects and people seemingly defying gravity. In reality, these tricks uses things like strings or metal poles to make something look like it's floating.

Judaism
Solomon's Carpet is an extra-Biblical Hebrew legend that King Solomon had a flying carpet that was 60 miles long by 60 miles wide. legends have also appeared in Arabian (One Thousand and One Nights) and Russian folklore.

Christianity
Jesus provides the most well known case of levitation in Christianity by walking on water to his disciples. He is also mistaken for a spirit at first, which gives another example of a levitating creature in Christianity.

More specifically, Catholicism considers levitation to be a symptom of possession by demons, and cause for exorcism. Except when Jesus did it, presumably.

Islam
Solomon's carpet also appears in and  according to Sunni Qur'an commentator Tafsir Ibn Kathir.