I'm not familiar with Coopers specifically, but there is little difference between a regular pils(lager) and pale base malt.
Do you know what brand/strain of yeast is included?
Safest bet is probably a pale ale, IPA, or amber, if you're willing to supplement the kit with a small amount of specialty grains and/or hops. Take a look in brewWiki.
Be careful and check to see if the Cooper's extract is hopped or unhopped. If it is hopped, the hops have already been 'boiled' into the extract, so you will already have a bittering base.
Hope that's helpful to get you started. Ping questions away, a ton of knowledge out there on this forum.