I could only find this site:
http://www.expatica.com/es/moving-to/relocation/Pet-relocation-to-Spain_101407.html
Restrictions
All other pets (birds, invertebrates, tropical fish, reptiles, amphibians, mammals such as rodents and rabbits) are not subject to the regulations on the anti-rabies vaccination but may have to meet other requirements as to a limit on the number of animals and a certificate to accompany them with respect to other diseases. Pet owners are strongly advised to seek further information from the relevant authority of their country and/or that of the destination country.
EU pet passports
European Union pet owners are now required to have pet passports when travelling with their animals. The passports, which are required before allowing an animal entry into an EU member state, are to include the pet's microchip or tattoo number for identification, as well as other data such as records of all vaccinations and clinical examinations. When travelling, the pet owner must ensure that the rabies vaccination in the passport is valid or else renew the pet's vaccination.
One aim of the European Pet Travel Scheme, which covers cats, dogs and even ferrets, rabbits and rodents, is to provide proof that the animal has been vaccinated against rabies, with the passport also setting out details of the pet's tick and tapeworm treatment. The EU Pet Passport contains the following information:
- Name and address of animal owner
- Description of the animal (breed, sex, age, color)
- Number of microchip
- Date of the rabies vaccination, period of validity of the vaccination, type of vaccine, name of manufacturer and production number
- Address and signature of the veterinarian
I'm not sure though if the passport is only required if you travel by plane, train, etc... It definitely seems that all need it, but I wouldn't put my hand on fire about it.