This is a re-repost since this topic resurfaces every so often:
Verses that could support tattoos or other body art:
Genesis 24:47: Then I asked her, ‘Whose daughter are you?’ She said, ‘The daughter of Bethuel, Nahor's son, whom Milcah bore to him.’ So I put the ring on her nose and the bracelets on her arms.
Exodus 21:2-3, 5-6: But if the servant plainly says, 'I love my master, my wife, and my children; I will not go out free,' then his master shall bring him to the judges. He shall also bring him to the door, or to the doorpost, and his master shall pierce his ear with an awl; and he shall serve him forever.
Ezekiel 9:4: And the LORD said unto him, Go through the midst of the city, through the midst of Jerusalem, and set a mark upon the foreheads of the men that sigh and that cry for all the abominations that be done in the midst thereof.
Ezekiel 9:6: Slay utterly old and young, both maids, and little children, and women: but come not near any man upon whom is the mark; and begin at my sanctuary. Then they began at the ancient men which were before the house.
Ezekiel 16:11-12: I adorned you with ornaments, put bracelets on your wrists, and a chain on your neck. And I put a jewel in your nose, earrings in your ears, and a beautiful crown on your head. (God speaking to his people and comparing their relationship to a bride and groom.)
Revelation 19:16: And he hath on his vesture and on his thigh a name written, KING OF KINGS, AND LORD OF LORDS.
The context for the Levitical law against cutting or printing on the skin is frequently overlooked. Leviticus 19:26-31 is comprised of 3 complete paragraphs that are a call to separation from pagan types of worship. It forbids eating blood, making enchantments, cutting flesh in mourning, giving your daughter as a temple prostitute, and seeking out practitioners of magic, among others. These were all practiced by the pagan cultures around them, and God was commanding that worship of Him was to be entirely different. It's inconsistent (and could be argued hypocritical) to use verse 28 to condemn tattoos (and somehow extending it to other forms of body art), while ignoring verse 27 in the same paragraph that is opposed to trimming the beard.
On that same train of thought, consider the following: why are we ok with ear piercings? And how many is too many? Why not other body parts? Is it wrong if no one else can see them, thus removing the "stumbling block" aspect? What about people who are already tattooed? So then why is make up okay? It's a mark on the skin, just not usually permanent. Where do we draw the line?
The above illustrates what happens when we are caught up in legalism. The biblical principle us to glorify God in your body. The application of that principle will vary based upon each persons walk with God, their culture, and many other influences.