Det här är en väldigt bra och utförlig artikel:
http://en.wikipedia.org/wiki/European_Arrest_Warrant
"In particular EAWs have been issued for minor offences such as possession of 0.45 grams of cannabis; theft of two car tyres; driving a car under the influence of alcohol, where the limit was not significantly exceeded (0.81 mg/l) and the theft of a piglet.[9]
In the UK, persons arrested under an EAW have recently been extradited for minor offences such as the stealing of 10 chickens (Romania) unintentionally receiving a stolen mobile phone (Poland) and theft of £20 worth of petrol (Czech Republic).[10]"