Two cylinders. Arranged in a parallel arrangement. That is, not in a V or in a boxer layout. Spoke wheels.
Seriously, though, the choices are many many!
Honda made twins in a zillion different displacements from tiny up through the 450/500 models.
Yamaha made 360, 400, 500, 650 and 750 twins.
Kawasaki has the 400 and 750 twins.
Suzuki made a 400 twin, but later into the 'mag wheel' era - late 70s early 80s.
And those are just the Japanese four-stroke twins. If you're into two-strokes, or Europeans, we need to start over on the list...
If you're wanting to build a straightforward ride, the Yamaha XS650 is probably the best starting canvas. Huge aftermarket support and huge numbers of customs out there for "inspiration", although that can be a drawback, too - that is, whatever you do has almost certainly been done a zillion times by others on an XS650.
Good luck, whichever way you go.
Kirk
*edit* - Yamaha made the RD series, not Suzuki. Legends...