How many New Testament manuscripts do we really have?

We have some 10,000 manuscripts of the Gospels alone. There are four major NT families, each stemming from a center of Christianity, that were separated by hundreds of miles. Each center had its own gospel, and traditions. All the manuscripts discovered can be traced back to one of these centers. There are thousands of variations between these manuscripts - some small punctuation differences, but many have different passages. Some manuscripts were included in the oldest bibles but not in our present bibles. The oldest Bible is from the 4th. cent but it is undated. The oldest OT that is dated is from the 5th. cent. (Syrian Aramaic.) Everything that is in the NT can be found in the writings of the Church Fathers between the 2nd and 5th cents. Before the 2nd cent. there are no quotations from the NT as we have it presently. Presently we have hundreds of NT versions many of which are in strong disagreement as to theology. Each church sponsors a translation which supports its particular doctrine. And in fact that was the purpose of the first NT - to support the doctrine of the Church. If you are RC you wouldn't read a Protestant Bible, nor a Protestant read a Mormon Bible. Anglicans read the King James with all 80 books. Evangelicals read the NIV with 67 books.

There is no "original" bible in Christianity. The most ancient Bibles are in Aramaic, and Greek. Followed by Old Latin (3rd cent.,) Classical Latin (5th. cent.)

Bibles have been copyright since the KJV 1611. All churches and their publishers have to circumvent the copyright restrictions by re-translations of non-copyright material. Committees of scholars are paid to come up with variations on the text, so that publication can occur without being stopped by copyright holders.

That is why there has been only one King James text since 1796. The copyright is held by the Crown of England. No variation can be made without an act of Parliament, the agreement of the Queen, and her Bishops.

No ancient literature has survived in its original form and all are derived from copies of the originals. The NT is no exception. However, in comparison with any other ancient literature, the NT is without a peer—both in terms of the chronological proximity and the surviving number. For clarity here is table from an answer from David Startton here:

The earliest copies of Quran are dating back to 688 A.D., a time span of 56 years after the death of Mohammad or a time span of more than 56 years after it was written on fragmented parchments, scapula, leafstalks of date palms etc.

As can be seen from above table all the ancient authorities are preserved in only a handful of manuscripts whereas for NT there are approximately 24,000. About 5,500 Greek manuscripts, ranging in date from the second century AD into the middle ages. Besides the Greek manuscripts, there are nearly 30,000 versional copies (e.g., Latin, Coptic, and Syriac), and over 1,000,000 quotations from the NT in the church Fathers.

The Greek manuscripts are by far the most important as they are earliest manuscripts and since they involve direct reproduction from Greek to Greek. There are four kinds of Greek manuscripts: papyri, uncials (or majuscules), minuscules (or cursives), and lectionaries.

Papyri: Literally thousands of papyrus fragments have been found of which approximately 100 contain portions of the New Testament. Actually, taken together, these 100 fragments constitute over half of the New Testament and all but four are in the form of codices. Though many of them are somewhat fragmentary, and at times the copying was looser than one would like (i.e., they were done before the canon was officially recognized), they are nevertheless extremely important for establishing the text of the New Testament—if for no other reason than the fact that they represent some of the most ancient manuscripts we possess. Five important papyri are illustrated in the chart below.

Uncials: Here are approximately 300 uncials known to exist today that contain portions of the New Testament and one uncial that contains the entire NT. Unlike the papyri they were written on animal skins or vellum. The most important uncials are Aleph or Sinaiticus and Vaticanus of 4 th century.

Minuscule: There are approximately 2,813 NT Greek minuscule manuscripts known to us today. These copies range in date from the ninth to sixteenth centuries, were produced on vellum or paper, and were written in cursive or a lower-case, flowing hand. Among the more important manuscripts cited are Minuscule no: 33 of 9 th century.

Versional Evidence: Versions were initially prepared for missionary purposes. The history and transmission of versions are often quite complex, and scholars often do not agree on or do not know the particular dates or characteristics of the version. There are nearly 30,000 versional copies (e.g., Latin, Coptic, and Syriac),

Source: Net Bible