motorcycle is the usual term; motorbike strikes me more as BE.
There are a couple of minor mistakes in #5: most custom built motorcycles, usually with extra long frames and extra ornamentation, are called "choppers". Not necessarily so. There are choppers, of course, but there are also bobbers and customs, all with various sub groupings, like radical customs, street customs, old-school bobbers, nu-skool bobbers, ground-up customs, etc. It can get very complicated. Also, Harley builds more than just cruisers and touring bikes: there's the trusty old Sportster, for instance, which has been around since 1957, or the not quite so old V-Rod with its even younger cousins. :-)