It is pretty easy to find all three names for the disciple turned apostle in the gospels. He is introduced in Mark, for example, as Simon who also called Peter. I do not think the synoptics use the Aramaic form of Peter, Cephas, of him, but John does. The gospel of Thomas twice mentions Simon Peter. The gospel of Peter has him writing in the first person, "I, Simon Peter."
In texts that show the clear influence of gospel materials (I am being deliberately vague here so as not to prejudge whether those materials are identical with our canonical set) one can at least sometimes find at least both halves of the name: Simon and Peter/Cephas. For example, Justin Martyr says that Peter was previously known as Simon in Dialogue With Trypho 100. But usually Peter is the name chosen, as in the following passages:
Ignatius to the Smyrnaeans 3.1-3: 1 For I know and believe that he was in the flesh even after the resurrection. 2 And when he came to those who were with Peter, he said to them, "Reach out, touch me and see that I am not a bodiless daimon." And immediately they touched him and believed, having been intermixed with his flesh and spirit. For this reason they also despised death, for they were found to be beyond death. 3 And after his resurrection he ate and drank with them as a fleshly being, even though he was spiritually united with the Father.
Eusebius, Ecclesiastical History 2.15.1-2: 1 But such a light of piety shone on the minds of those who heard Peter that they were not nearly satisfied with a single hearing or with an unwritten account of the divine proclamation. And so with all kinds of entreaties they begged Mark (whose Gospel is now in circulation), a follower of Peter, that he might leave behind a written record of the teaching that had been given to them orally. And they did not rest until they had prevailed upon him. To this extent they were the impetus for the writing called the Gospel according to Mark. 2 And they say that when the apostle came to know what had happened, after the Spirit revealed it to him, he delighted in their eagerness and authorized the writing to be read in the churches. Clement passes along this story in the sixth book of the Outlines, and the one who is called Papias, the bishop of Hierapolis, corroborates his account, pointing out in addition that Peter makes mention of Mark in his first epistle, which also they maintain was composed in Rome itself.
Eusebius, Ecclesiastical History 3.39.4: 4 But whenever someone arrived who had been a companion of one of the elders, I would carefully inquire after their words, what Andrew or Peter had said, or what Philip or what Thomas had said, or James or John or Matthew or any of the other disciples of the Lord, and what things Aristion and the elder John, disciples of the Lord, were saying. For I did not suppose that what came out of books would benefit me as much as that which came from a living and abiding voice."
Eusebius, Ecclesiastical History 3.39.15: 15 "And this is what the elder used to say, 'When Mark was the interpreter of Peter, he wrote down accurately everything that he recalled of the Lord's words and deeds—but not in order. For he neither heard the Lord nor accompanied him; but later, as I indicated, he accompanied Peter, who used to adapt his teachings for the needs at hand, not arranging, as it were, an orderly composition of the Lord's sayings. And so Mark did nothing wrong by writing some of the matters as he remembered them. For he was intent on just one purpose: to leave out nothing that he heard or to include any falsehood among them.'" This then is what Papias says about Mark.
Eusebius, Ecclesiastical History 3.39.17: 17 And Papias made use of the testimonies found in the first epistle of John, and from the epistle of Peter as well. And he set forth another account about a woman who was falsely accused of many sins before the Lord, which is also found in the Gospel according to the Hebrews.
However, I have not yet found any mentions of Simon in texts that seem fairly free of gospel materials.
For example, 1 Clement is relatively free of gospel materials, and we find only Peter:
Of course, 2 Clement shows some dependence on gospel materials, but we still find only Peter:
But more interesting is the contrast between 1 and 2 Peter. 1 Peter is remarkably free of gospel details, and it begins:
But 2 Peter shows an acquaintance with something like the transfiguration scene, and it begins:
This use of Symeon not only echoes the name Simon but also recalls Acts 15.14, in which Peter is also called Symeon. The connections here start to get strange and hard to decipher: it is James, supposedly the brother of the Lord, who calls him Symeon in Acts 15.14, and 2 Peter, which also calls him Symeon, bears strong connections with the epistle of Jude, supposedly another brother of the Lord. What is going on there??
But I digress.... The epistles of Paul evince famously slim and/or controversial knowledge of gospel traditions, and the apostle in question is always called Cephas here (or possibly also Peter in Galatians 2, though I consider that passage to be suspect). No Simon.
I am not sure what any of this means, by the way. As I said, this is a fishing expedition. (There are many possibilities that spring to mind. Did authors call him Peter instead of Simon because stories about his famous battle with Simon Magus were easier to tell without two main characters named Simon? Was Peter/Cephas used more because it was a rarer name and could distinguish which person was being spoken of all by itself? Was Peter/Cephas a more attractive name, given that it could be seen as implying that the church was founded upon this Rock?)
But back to the question at hand: are there texts which do not evince much knowledge of gospel traditions but which still call this apostle Simon? More pointedly, would you basically have to know the story of his origins as a fisherman in order to know him as Simon in the first place?
Ben.