OK fine, we start by banning Germany and the United Kingdom, leaders in fraud:
http://www.nationmaster.com/graph-T/cri_fra_cap
And here the UK is number 5:
http://www.nationmaster.com/graph-T/cri_con_cap
Perhaps car thefts? We can ban Australia, Denmark, and the UK for that too:
http://www.nationmaster.com/graph-T/cri_car_the_cap
Or perhaps assaults? Then we ban South Africa, yes, but look: U.S. is number 5 and UK is number 7:
http://www.nationmaster.com/graph-T/cri_ass_cap
I fear there are very few countries with "few" or "little" crime. Maybe Fiji.