Note: The FDA can remove a product from the market if it's deemed to be unsafe.
It's always best to get nutrition from whole food, but if you prefer supplements, makes sure you do plenty of research.
Quack Watch has a plethora of information about health care and about supplements.
Another good article is Truth about Supplements
Consumer Reports - Hidden dangers of vitamins
Food and Drug Administration
What to look for:
Non Profit organization United States Pharmacopeial (USP) seal (check their list here)
USP is an independent organization that ensures the contents are as described on the label and free of contaminants.
What to avoid:
Complicated ingredient list
Percentages exceeding 100% of recommended daily allowance (RDA)
Supplements or vitamins that may interfere with medication (check with your doctor before taking anything)
Products that may harm or cause liver damage:
Aristolochic Acid
Bitter orange
Chaparral
Comfrey
Germander
Kava
Lobelia
Scullcap