<p>Generally speaking first job opportunities come in two flavors, a local company recruits at a local college. Second the alumni network of a school drives recruitment there.</p>
<p>So, going to school in an EU country would probably make it easier to get a first job in an EU country. Conversely, a degree from an American College or University would, most likely, make it easier to get a first job in the US. </p>
<p>As for which one would help you in New Zealand? I don’t have any idea.</p>