What people claim to be prophecy today does not match the description of prophecy in scripture. Today's prophecies are nothing more than strong thoughts popping into people's heads which are presumptuously declared to be a 'word from the Lord' yet they are regularly proved to be false. Whereas in scripture prophecy is described God actually speaking precise words to the prophet who could then infallibly say "Thus says the Lord...".
The Bible repeatedly records God speaking words to the prophets. Here is just a small sampling:
Exodus 3:14 God said to Moses, “I AM WHO I AM”; and He said, “Thus you shall say to the sons of Israel, ‘I AM has sent me to you.’” God, furthermore, said to Moses, “Thus you shall say to the sons of Israel, ‘The Lord, the God of your fathers, the God of Abraham, the God of Isaac, and the God of Jacob, has sent me to you......
Exodus 34:10 Then God said, “Behold, I am going to make a covenant. Before all your people I will perform miracles which have not been produced in all the earth nor among any of the nations;
2 Samuel 7:4 But in the same night the word of the Lord came to Nathan, saying, “Go and say to My servant David, ‘Thus says the Lord, “Are you the one who should build Me a house to dwell in?
1 Kings 6:11 Now the word of the Lord came to Solomon saying, “Concerning this house which you are building, if you will walk in My statutes and execute My ordinances and keep all My commandments by walking in them, then I will carry out My word with you which I spoke to David your father.
1 Kings 13:20 Now it came about, as they were sitting down at the table, that the word of the Lord came to the prophet who had brought him back; and he cried to the man of God who came from Judah, saying, “Thus says the Lord, ‘Because you have disobeyed the command of the Lord, and have not observed the commandment which the Lord your God commanded you,
Isaiah 1:10 Hear the word of the Lord, you rulers of Sodom; Give ear to the instruction of our God, you people of Gomorrah. “What are your multiplied sacrifices to Me?” says the Lord. "I have had enough of burnt offerings of rams and the fat of fed cattle;"
Isaiah 38:4 Then the word of the Lord came to Isaiah, saying, “Go and say to Hezekiah, ‘Thus says the Lord, the God of your father David, “I have heard your prayer, I have seen your tears; behold, I will add fifteen years to your life.
Jeremiah 13:8 Then the word of the Lord came to me, saying, “Thus says the Lord, ‘Just so will I destroy the pride of Judah and the great pride of Jerusalem.
And the same formula applies to New Testament prophets:
Acts 21:10 "As we were staying there for some days, a prophet named Agabus came down from Judea. And coming to us, he took Paul’s belt and bound his own feet and hands, and said, “This is what the Holy Spirit says: "In this way the Jews at Jerusalem will bind the man who owns this belt and deliver him into the hands of the Gentiles.’”
Now if God did not actually say those words, but rather were simply thoughts in the prophets' minds which they verbalized, then the Bible is lying, because it actually quotes the very words God spoke. I've not seen anywhere where God gave a prophecy via a prophet's thoughts. In fact this is what scripture says about people who claim prophecies from their own thoughts:
Ezekiel 13:1 The word of the Lord came to me: “Son of man, prophesy against the prophets of Israel who are now prophesying. Say to those who prophesy out of their own imagination: ‘Hear the word of the Lord! This is what the Sovereign Lord says: Woe to the foolish prophets who follow their own spirit and have seen nothing!
Jeremiah 14:14 Then the Lord said to me, “The prophets are prophesying lies in my name. I have not sent them or appointed them or spoken to them. They are prophesying to you false visions, divinations, idolatries and the delusions of their own minds.
Jeremiah 23:16. This is what the Lord Almighty says: “Do not listen to what the prophets are prophesying to you; they fill you with false hopes. They speak visions from their own minds, not from the mouth of the Lord."
Jeremiah 23:26 How long will this continue in the hearts of these lying prophets, who prophesy the delusions of their own minds?
The same applies to tongues and healers. Today's claimed tongues and healing does not match the biblical description of those gifts.
Cessationism was prevalent in the Church long before Protestantism came on the scene. Although the early church fathers (from 100ad) testified that these gifts were still present, the middle fathers (200-300 AD) said they are rare, and the late fathers (300-400AD) said they had ceased. This ties in perfectly with the distribution of the completed canon.
Augustine (354-430), The Homilies On John
In the earliest time, “the Holy Ghost fell upon them that believed; and they spake with tongues,” which they had not learned, “as the Spirit gave them utterance.” These were the Sign adapted to the time. For there behooved to be that betokening of the Holy Spirit in all tongues, to show that the Gospel of God was to run through all tongues over the whole earth. That thing was done for a betokening, and it passed away.
Chrysostom (347-407), on 1 Corinthians 12
This whole passage is exceedingly obscure; and what creates the obscurity is both ignorance of these matters and the cessation of things which happened then but do not now occur.
Chrysostom on 1 Cor 13:8
For if both these [gifts of prophecy and tongues] were brought in for the sake of the faith; when that is every where sown abroad, the use of these is henceforth superfluous. . . . It is no marvel that prophecies and tongues should be done away.
Theodoret (393-458) Commentary on the First Epistle to the Corinthians:
In former times those who accepted the divine preaching and who were baptized for their salvation were given visible signs of the grace of the Holy Spirit at work in them. Some spoke in tongues which they did not know and which nobody had taught them, while others performed miracles or prophesied. The Corinthians also did these things, but they did not use the gifts as they should have done. They were more interested in showing off than in using them for the edification of the church.