You can always tell if there's going to be bike action by the bike the main Rider has.
Kuuga used off-roads, and generally, those are what you need to really do some bike stunts.
Otherwise, sport bikes (Kabuto, Agito), cruisers (Hibiki, Kiva), and sport touring bikes (Decade) are generally too heavy to really do any fancy stunt work. Agito, for example, rode his bike everywhere, but only really used it combat-wise in Machine Tornador CG scenes. Blade, the last user of an off-road, had a decent amount of bike use, and some bike jousting as well.
Double is using a sport bike again if that tells you anything.