Eleazar the exorcist, described by Josephus as an eyewitness 
(Josephus, Antiquities 8.45-48, Whiston’s translation) God also enabled him [Solomon] to learn that skill which expels demons, (4) which is a science useful and sanative to men. He composed such incantations also by which distempers are alleviated. And he left behind him the manner of using exorcisms, by which they drive away demons, so that they never return; and this method of cure is of great force unto this day; for I have seen a certain man of my own country, whose name was Eleazar, releasing people that were demoniacal in the presence of Vespasian, and his sons, and his captains, and the whole multitude of his soldiers. The manner of the cure was this: He put a ring that had a Foot of one of those sorts mentioned by Solomon to the nostrils of the demoniac, after which he drew out the demon through his nostrils; and when the man fell down immediately, he abjured him to return into him no more, making still mention of Solomon, and reciting the incantations which he composed. And when Eleazar would persuade and demonstrate to the spectators that he had such a power, he set a little way off a cup or basin full of water, and commanded the demon, as he went out of the man, to overturn it, and thereby to let the spectators know that he had left the man; and when this was done, the skill and wisdom of Solomon was shown very manifestly: for which reason it is, that all men may know the vastness of Solomon's abilities, and how he was beloved of God, and that the extraordinary virtues of every kind with which this king was endowed may not be unknown to any people under the sun for this reason, I say, it is that we have proceeded to speak so largely of these matters. 

Compare Mark 5:1-20

2. Raising the Dead
Apollonius of Tyana (Philostratus, Vita Apollonii IV, 45)
Here too is a miracle which Apollonius worked: A girl had died just in the hour of her marriage, and the bridgegroom was following her bier lamenting as was natural his marriage left unfulfilled, and the whole of Rome was mourning with him, for the maiden belonged to a consular family. Apollonius then witnessing their grief, said: "Put down the bier, for I will stay the tears that you are shedding for this maiden." And withal he asked what was her name. The crowd accordingly thought that he was about to deliver such an oration as is commonly delivered as much to grace the funeral as to stir up lamentation; but he did nothing of the kind, but merely touching her and whispering in secret some spell over her, at once woke up the maiden from her seeming death; and the girl spoke out loud, and returned to her father’s house, just as Alcestis did when she was brought back to life by Hercules. And the relations of the maiden wanted to present him with the sum of 150,000 sesterces, but he said that he would freely present the money to the young lady by way of a dowry. Now whether he detected some spark of life in her, which those who were nursing her had not noticed,--for it is said that although it was raining at the time, a vapour went up from her face—or whether life was really extinct, and he restored it by the warmth of his touch is a mysterious problem which neither I myself nor those who were present could decide. (Loeb translation)

Elijah (1 Kings 17:17-24)
After this the son of the woman, the mistress of the house, became ill; and his illness was so severe that there was no breath left in him. 18 And she said to Eli'jah, "What have you against me, O man of God? You have come to me to bring my sin to remembrance, and to cause the death of my son!" 19 And he said to her, "Give me your son." And he took him from her bosom, and carried him up into the upper chamber, where he lodged, and laid him upon his own bed. 20 And he cried to the LORD, "O LORD my God, hast thou brought calamity even upon the widow with whom I sojourn, by slaying her son?" 21 Then he stretched himself upon the child three times, and cried to the LORD, "O LORD my God, let this child's soul come into him again." 22 And the LORD hearkened to the voice of Eli'jah; and the soul of the child came into him again, and he revived. 23 And Eli'jah took the child, and brought him down from the upper chamber into the house, and delivered him to his mother; and Eli'jah said, "See, your son lives." 24 And the woman said to Eli'jah, "Now I know that you are a man of God, and that the word of the LORD in your mouth is truth."

Compare Mark 5:21-43; Luke 7:11-17

3. Healings
Apollonius of Tyana (Philostratus, Vita Apollonii III, 39)
(healings by Apollonius) There also arrive a man who was lame. He already thirty years old was a keen hunter of lions; but a lion had spring upon him and dislocated his hip so that he limped with one leg. However when they massaged with their hands his hip, the youth immediately recovered his upright gait. And another man had had his eyes put out, and he went away having recovered the sight of both of them. Yet another man had his hand paralysed, but left their presence in full possession of the limb. (Loeb translation)

Compare Mark 3:1-6; Mark 7:31-37; 8:22-26

4. Multiplication of bread
The wife of Rabbi Hanina ben Dosa (b. Taan 24b, 25a)
His [Hanina ben Dosa’s] wife used to heat the oven every sabbath eve and used to throw fuel in to make smoke because of the shame (that is, because she was ashamed before her neighbours). She had this spiteful neighbour. She (the neighbour) said, "This is odd, when I know they have nothing, nothing at all. What does all this mean?" She (the neighbour) went and knocked on the door [of Hanina’s house]. She [Hanina’s wife] was ashamed and went into the room. Then a miracle took place for her [Hanina’s wife]; she saw the oven full of bread and the trough full of dough. Then she [the neighbour] said to her, "Bring a shovel. Your loaves are beginning to burn." And she [Hanina’s wife] said to her, "That’s why I went in." (from Theissen, Miracle Stories, 104).

Elisha (2 Kings 4:1-7) Now the wife of one of the sons of the prophets cried to Eli'sha, "Your servant my husband is dead; and you know that your servant feared the LORD, but the creditor has come to take my two children to be his slaves." 2 And Eli'sha said to her, "What shall I do for you? Tell me; what have you in the house?" And she said, "Your maidservant has nothing in the house, except a jar of oil." 3 Then he said, "Go outside, borrow vessels of all your neighbors, empty vessels and not too few. 4 Then go in, and shut the door upon yourself and your sons, and pour into all these vessels; and when one is full, set it aside." 5 So she went from him and shut the door upon herself and her sons; and as she poured they brought the vessels to her. 6 When the vessels were full, she said to her son, "Bring me another vessel." And he said to her, "There is not another." Then the oil stopped flowing. 7 She came and told the man of God, and he said, "Go, sell the oil and pay your debts, and you and your sons can live on the rest."

Elisha (2 Kings 4:42-44) A man came from Ba'al-shal'ishah, bringing the man of God bread of the first fruits, twenty loaves of barley, and fresh ears of grain in his sack. And Eli'sha said, "Give to the men, that they may eat." 43 But his servant said, "How am I to set this before a hundred men?" So he repeated, "Give them to the men, that they may eat, for thus says the LORD, `They shall eat and have some left.'" 44 So he set it before them. And they ate, and had some left, according to the word of the LORD.

Compare Mark 6:34-44

5. Other miracles
Honi the Circle-drawer. Mishnah, Taanit 3:8

They said to Honi the Circle-drawer, "Pray that it may rain." He said to them, "Go out and bring in the Passover ovens so that they might not get soggy." He prayed and it did not rain. What did he do? He drew a circle and stood in it and said, "Lord of the world, your children have turned to me, since I am like a child of your household. I swear by your great name that I will not budge from here until you have show mercy on your children!" It began to rain by drips. He said, "This isn’t what I asked for, but for rains filling wells, pits, and caves!" It began to pour violently. He said, "This isn’t what I asked for, but for rains of benefit, blessing, and goodness!" Then it rained moderately, until Israel went out from Jerusalem to the Temple mount because of the rain. (translation by D. Falk)

Onias the Rain-maker. Josephus, Antiquities of the Jews XIV, 22-24
Now there was one, whose name was Onias, a righteous man he was, and beloved of God, who, in a certain drought, had prayed to God to put an end to the intense heat, and whose prayers God had heard, and had sent them rain. This man had hid himself, because he saw that this sedition would last a great while. However, they brought him to the Jewish camp, and desired, that as by his prayers he had once put an end to the drought, so he would in like manner make imprecations on Aristobulus and those of his faction. And when, upon his refusal, and the excuses that he made, he was still by the multitude compelled to speak, he stood up in the midst of them, and said, "O God, the King of the whole world! since those that stand now with me are thy people, and those that are besieged are also thy priests, I beseech thee, that thou wilt neither hearken to the prayers of those against these, nor bring to effect what these pray against those." Whereupon such wicked Jews as stood about him, as soon as he had made this prayer, stoned him to death. (translation by W. Whiston)