I've rebuilt my International in various different ways. I agree with the others who call it a nice blank canvas. To me, the important things are the choices of saddle and handlebars and getting them in good positions. They are more important than the drivetrain and brakes.

I use mine as a commuting bike, so it has a dynamo front hub, a rear rack with a basket, and all other sorts of practical considerations. I built a 36-spoke rear wheel out of an old Dura Ace hub and Sun CR18 rims. It's a bit heavy, but I want it to be reliable. And then in contradiction to all of the practicality, I am riding Continental GP 5000 tires in 32 mm. They're prone to punctures, but I like the way they ride.

I have a very long-running "blog" about this bike here. It needs updating.