How many distinct Biblical canons are there? I've noticed recently on this site there is a push to enforce the rule that, in one's questions, one ought to state "which Bible" one is interested in learning about—whether that is the "Catholic Bible", "Protestant Bible", "Mormon Bible", etc.

Although I knew there were many translations of "the" Bible, I didn't realize that the various denominations of Christianity were using different books.  Sure, there must be appreciable overlap among them, but there must also be appreciable differences, too, for this rule to be in place.

So, questions in this vein might be:


How many different Bibles do experts tend to agree there are?
How do they differ? (provide a summary or key differences)
In what ways do those differences matter to the adherents to those denominations?


By the way, I would not count The Book of Mormon as "part of" the Mormon Bible; I would see it as its own book in that denomination (but maybe that is wrongheaded in the Mormon tradition?).
There are two major variations in the Bible which has caused rifts over time:  translation and canon.
Translation
It's important to not underestimate the value of translation.  The New World Translation, for example, is a translation used exclusively by the Jehovah's Witnesses.  This &quot;Bible&quot; can be considered the Jehovah's Witness Bible.
Other denominations have exclusive translations as well, such as the Inspired Version, which is a partial translation exclusive to Mormonism (although, being a partial translation, is not their primary Bible).
Canonization
There are also many, many canons of the Bible.  See here for a list.  Some of these were for doctrinal purposes, such as Luther's attempt to remove the books of Hebrews, James, Jude and Revelations from the canon.  Others were from political reasons, such as the Ethiopian Christians accepting a different canon from the Roman Catholics.  Then there's the authentic reasons for excluding particular books.
Regardless how you come at it, these different canons have resulted in differences in Bibles.  The Bible as used by Roman Catholics, for example, contains the Deuterocanonical books, which are not part of the Protestant Bible.  The varying Orthodox canons include text that are not found in the Roman Catholic canon.
Summary
Unfortunately, there are many different &quot;Bibles&quot;--a separation caused by both the translation and canonization processes.
Historical translations and canons also broaden the spectrum to an extreme (such as Luther's canon).
If you're looking for a raw list, start with a list of canons and a list of English translations.