According to the Bible, is cremation an acceptable Christian practice? I have heard some people speak against cremation for Christians, because of the ties it has to some eastern religions.  But what does the Bible actually say about cremation, or any other burial practices?
There is nothing in the Bible that specifically deals with what to do with the bodies of the deceased.  Cremation does not appear to be a part of any burial customs of God's people in biblical times.

Joseph (Jacob's son), in faith, gave instructions to the Israelites to carry his bones back to the Promised Land when God would give Israel that land centuries after he died.  With his role in Egypt, he may have even been mummified according to Egyptian customs.

We also know that Jesus was not cremated, and His body did not see corruption.

It seems that the biggest issue with cremation is that it actively destroys the body rather than passively surrendering it to natural processes.