Not all EU countries... there are 36 countries participate in Visa Waiver Program:
Andorra Hungary New Zealand
Australia Iceland Norway
Austria Ireland Portugal
Belgium Italy San Marino
Brunei Japan Singapore
Czech Republic Latvia Slovakia
Denmark Liechtenstein Slovenia
Estonia Lithuania South Korea
Finland Luxembourg Spain
France Malta Sweden
Germany Monaco Switzerland
Greece the Netherlands United Kingdom

Passport holders of these countries can enter US without getting visa for 90 days.