1967?!?! I was just browsing for some interesting trivia about marriage, and although I'm a child of the 60s, had no idea this persisted until then. So much for learning relevant history in high school.
This turning point was made with the case of Loving v. Virginia, where the United States Supreme Court ruled that Virginia's ban on interracial marriage was unconstitutional—I guess Virginia wasn't always for lovers.
In 1967, the following states still had bans on miscegenation: Alabama, Arkansas, Delaware, Florida, Georgia, Kentucky, Louisiana, Mississippi, Missouri, North Carolina, Oklahoma, South Carolina, Tennessee, Texas, Virginia and West Virginia.
It took South Carolina until 1998 and Alabama until 1999 to amend their state laws and remove the offending language.