Perhaps a rat rod?
Sorry, bat rod.
And so on and so on. You get the idea. Punch "real-life Batmobiles" into Google and you'll find everything from Tumblers to Animated Series-inspired DIY projects to VW Beetles someone has painted black and slapped a bat-sticker on. Real Batmobiles, much like real beauty, come in all shapes, ages, and sizes.
The Hero We Need To Drive Them:
Both cinematic and comic book incarnations of Batman have toyed with the idea of an entire army of Batmen, all sworn to protect the peace with their own particular spin on the theme. We've already got the cars, so why not round up their owners and make them join forces, Batman Inc.-style. They'd be like a giant biker gang, only nicer, more popular with kids, and wearing a hell of a lot more leather.
Just keep in mind that when they inevitably make the ultra-gritty 1960s Batman reboot where Daniel Day-Lewis takes up Cesar Romero's mantle as Gloriously Mustachioed Joker, chances are he will mow his way through all of these guys in preparation for the role.