Usualy, credit cards have an anual fee, but there are a lot of bancs and other institutions that offer free credit cards for you.
See the list of my recomendations. This list is for credit cards that offer paiment whith credit and without (all at the end of the month):
CITIBANk free credit card classic and gold
ING free gold card wit nomina account
visa vips free if you expense more than 300 euros per year.
VISA PASS free credit card offered by Carrefour supermarkets.