The Metamorphoses runs from the first separation of the elements to the deification of Julius Caesar, fifteen books joined so that one story leads to the next without a break. It was not composed as a reference work and it became one. Almost every version of Daphne turning into the laurel, Narcissus at the pool, Arachne and the weaving contest, Actaeon and the hounds, Pygmalion and the statue, or Orpheus looking back, that a European reader has ever met, descends from this poem rather than from any earlier Greek source, because this is the version that stayed in circulation.
The medieval church could not simply drop it and did not try. Readers produced moralised Ovids, long commentaries in which each transformation is decoded as a Christian lesson, so that the poem could be taught while its content was neutralised, and the manuscripts of those commentaries are numerous. Renaissance painters worked from the same text, which is why so much of the mythological subject matter in European art follows his arrangement and his details. He himself was banished to the Black Sea in the year 8 by Augustus, for what he called a poem and a mistake, and never said plainly what the mistake was.
One further habit of the poem shaped what came after it. Ovid tells almost every story as a change of state, and the change is usually a punishment, a rescue or a consolation delivered by a god who is not much interested in the person it lands on. That framing made the material portable. A story about a girl turning into a tree carries no doctrine with it, so it could travel into a Christian culture as decoration, as moral example, or as subject matter for painting, in a way that the cult it came out of could not.