We don't know
Information about the Prophecy of the Chosen One is surprisingly scarce in canon.
In The Phantom Menace, the Jedi Masters speak of the prophecy in familiar terms, but do not reveal who first made it (if they even know):
QUI-GON : A boy... his cells have the highest concentration of
midi-chlorians I have seen in a life form. It is possible he was
conceived by the midi-chlorians.
MACE WINDU : You're referring to the prophesy of the one who will
bring balance to the Force...you believe it's this boy?
QUI-GON : I don't presume...
YODA : But you do! Revealed your opinion is.
QUI-GON : I request the boy be tested.
MACE WINDU : He is too old. There is already too much anger in him.
QUI-GON : He is the chosen one...you must see it.
YODA : Clouded, this boy's future is. Masked by his youth.
and near the end of the movie:
QUI-GON : Obi-Wan promise...promise me you'll train the boy...
OBI-WAN : Yes, Master...
QUI-GON : He is the chosen one...he will...bring balance...train him!
Similarly, in Attack of the Clones:
MACE He has exceptional skills. The Council is confident in its
decision, Obi-Wan. If the prophecy is true, he will be the
one to bring balance to the Force.
It's pretty much more of the same in Revenge of the Sith:
OBI-WAN: (continuing) . . . You were the Chosen One! It was said that
you would destroy the Sith, not join them. It was you who would bring
balance to the Force, not leave it in darkness.
The Chosen One is also mentioned in Season Three of The Clone Wars, in the episodes "Overlords," "Altar of Mortis," and "Ghosts of Mortis." All of these episodes speak in similar terms, alluding to the Prophecy of the Chosen One as something well-known, while saying nothing about the circumstances under which it was made.
For example, from "Overlords":
QUI-GON: Three are here who seek Skywalker. They, like me, believe him to be
the chosen one.
OBI-WAN: You were right. The force within him is stronger than any known Jedi.
I have trained him as well as I could, but he is still willful and
balance eludes him.
QUI-GON: If he is the chosen one, he will discover it here.
That said, we can make a guess. According to this answer, which is based on The Jedi Path (which may no longer be canon), the Prophecy of the Chosen One was held in "Holocrons on Mortis." Since Mortis was the planet of the Father, the Son, and the Daughter, three extremely powerful and very old Force-users from the Clone Wars episodes mentioned previously, it is possible that one of them made the prophecy.
As for other prophecies, Force Visions have occurred before. The Sith Lord Darth Sidious was able to see the future to some extent. Rey experienced visions of the future when she touched Luke's lightsaber. Anakin apparently had visions, although they may have been sent by Darth Sidious. There are other such examples, but whether these qualify as "prophecy" may be a matter of opinion, since these are generally visions of near-future events, as opposed to verbal predictions of far-future events.