I know Jesus is risen and that whole story, but when I was much younger I remember hearing about some people who never actually died in the Bible. Who are these people and how did they leave this world?
Enoch and Elijah are the two that fit this category.
Some have speculated that Moses also fits into this category, but that doesn't fit with this verse:
The idea that Moses could have been in that category probably comes from the record that Moses and Elijah appeared to Jesus on the Mount of Transfiguration.
So, Enoch and Elijah are the two that meet this criterion.
As an aside, Lazarus and a few others died twice, so the death rate of all people who have ever lived is actually slightly greater than 100%. :)
It should also be noted that according to 1 Thessalonians, there are still some people who will not experience physical death, but will enter eternity prior to death. This is yet future, though. (Asleep is thought to be a euphemism for physical death)
Another person who never died in the Bible, and whose lack of death may have made some waves in the early Christian community was the Apostle John (the disciple whom Jesus loved).
By itself it seems kind of mundane, of course John died and tradition holds that he was the only disciple to manage to not die a martyrs death, in exile on the island of Patmos.
But the footnotes of the NAB say:
Which sort of begs the question. Is John really, very truly dead?
There maybe one more that I have found and that is Melchizedek (Hebrews 7:3) There is no record of his father or mother or any of his ancestors-no beginning or end to his life. He remains a priest forever, resembling the Son of God.