I'm talking about stuff like this in Herodotus' Histories, for example,
Then the Hellenes set sail with all their ships, and as they were putting out to sea the barbarians immediately attacked them. The rest of the Hellenes began to back water and tried to beach their ships, but Ameinias of Pallene, an Athenian, charged and rammed a ship. When his ship became entangled and the crew could not free it, the others came to help Ameinias and joined battle. The Athenians say that the fighting at sea began this way, but the Aeginetans say that the ship which had been sent to Aegina after the sons of Aeacus was the one that started it. The story is also told that the phantom of a woman appeared to them, who cried commands loud enough for all the Hellenic fleet to hear, reproaching them first with, “Men possessed, how long will you still be backing water?”
And from Suetonius' Life of Vespasian,
Vespasian, the new emperor, having been raised unexpectedly from a low estate, wanted something which might clothe him with divine majesty and authority. This, likewise, was now added. A poor man who was blind, and another who was lame, came both together before him, when he was seated on the tribunal, imploring him to heal them, and saying that they were admonished in a dream by the god Serapis to seek his aid, who assured them that he would restore sight to the one by anointing his eyes with his spittle, and give strength to the leg of the other, if he vouchsafed but to touch it with his heel. At first he could scarcely believe that the thing would any how succeed, and therefore hesitated to venture on making the experiment. At length, however, by the advice of his friends, he made the attempt publicly, in the presence of the assembled multitudes, and it was crowned with success in both cases. About the same time, at Tegea in Arcadia, by the direction of some soothsayers, several vessels of ancient workmanship were dug out of a consecrated place, on which there was an effigy resembling Vespasian.