I have seen (still one on my desk now) zero interest, 3% fees, or 3% interest, zero fees, but not both zero.
I doubt such exists, or if it does exist, then they have found some other way to -ensure- that they get paid, not just hope you trip up and leak money to them.
Here are some recent 0% no fee offers:
http://www.fatwallet.com/forums/finance/843508
There is a whole subculture of people who use these things to borrow lots of money at 0%, then park it in a CD for a year and pocket the interest.