I'm going to skip over Islam as I don't feel qualified to answer about the development of of the Qur'an, Hadith, Sira, and Sunnah.

But I can overview the writings of Judaism and Christianity.

The Tanakh (Old Testament) was largely written between the 7th century BCE and 3rd century BCE. As with all dates in this post, this is disputed. Most of it was written anonymously with "traditional" authors then assigned to the books after the fact. For example the Pentateuch (the first five books) was written by probably at least 4 authors and then edited by a person sometimes called "the redactor." No one knows who these authors were although educated guesses have been made. For example it has been speculated that one author claimed descent from Moses, lived in Shiloh, and had certain doctrinal concerns. Vs another author who lived in Jerusalem, claimed descent from Aaron, and had different ideas on doctrines. But that's all we can do is speculate. Traditionally though the authorship of these five books was assigned to Moses

One author in particular was very prolific, writing Deuteronomy, Joshua, Judges, 1 & 2 Samuel, and 1 & 2 Kings. This "Deuteronomist" has sometimes been linked to the prophet Jeremiah or his scribe Baruch. The writing is very similar in parts to the book of Jeremiah. As with all things this is disputed though, other scholars believe there was a deuteronomist school where there were several authors writing over a period of decades who jointly wrote these books.

And so it goes. Most of the prophetic books were likely written by a single person, so are generally accepted to have been written by heir assigned authors. Isaiah however clearly was written in three periods by three different authors and then stitched together. These authors are generally called Proto-Isaiah, Duetro-Isaiah, and Trito-Isaiah. A lot of the wisdom books are clearly compilations of many different authors.

The whole thing is still in a lot of ways a puzzle to us. Many of the various authors of the Old Testament likely will never be known. The decisions as to which books should be in the Jewish scriptures was still being decided around the first century CE. There are a lot of books that have been considered sacred that aren't in the current canonical lists.

Moving on to the New Testament we find much the same problem. All of the gospels were anonymously and authors assigned to them. It's unlikely that Matthew, Mark, Luke, or John authored any of those books. Mark was likely written first some 20 years after Jesus' death. Matthew and Luke clearly had access to Mark and copy him in large sections. John is usually believed to have been written last, maybe 60-70 years after the fact.

Paul likely wrote at least half of the epistles ascribed to him. The others are contested to various degrees. Paul was writing around 50-60 common era, and doesn't seem to have any access to what would become the gospels.

In all cases though the books of the New Testament were written in the mid to late first century or early second century. Already by the early second century Christians were beginning to worry about what were authentic writings and trying to compile lists of valid scripture.

If your interested in more I can recommend two highly accessible books to you: Who Wrote the Bible? by Richard Friedman and Misquoting Jesus by Bart Ehrman. Both are written for non-specialists and cover the basics of the question you asked here.