Psychobilly is rockabilly with another set of influences like punk, ska, surf, or a different attitude. Essentially Punkabilly IS Psychobilly, but more towards the punk spectrum rather than towards the rockabilly/surf, or maybe a Psychobilly band with political lyrics. Punkabilly is a term to describe a Psychobilly band, not necessarily another genre, though some people think that Punkabilly done right, can be considered another genre of it’s own. Can it? Well take a listen to some of the bands on this page and you can decide.
Here in Canada, the big Psychobilly names are The Brains, The Creepshow and the Gutterdemons. Probably the most well-known Punkabilly band overall is The Living End from Australia. Other well-known Punkabilly bands include the Koffin Kats and The Silver Shine.