Depends, really. Psychobilly is cool because it ultimately possesses different degrees of Punk and Rockabilly depending on the band. Some bands classified as Psychobilly barely have any connection with the Rockabilly end of it, others only have very small hints at the Punk edge.
Nekromantix: Gargoyles over Copenhagen
http://www.youtube.com/watch?v=EOqXgD5peVI
Mad Sin: Rebels Undisguised
http://www.youtube.com/watch?v=DgVrRLA1lwc
Koffin Kats: Graveyard Tree
http://www.youtube.com/watch?v=iVFfSKnc1CE
Bloodsucking Zombies from Outer Space: Blood on Satan's Claw
http://www.youtube.com/watch?v=1W6BWNyo5bM
Reverend Horton Heat: Galaxy 500
http://www.youtube.com/watch?v=Yb_juTPQJUc
Zombie Ghost Train: R.I.P.
http://www.youtube.com/watch?v=DSiLJQiOIVk
The Gutter Demons: 'Til the End
http://www.youtube.com/watch?v=5Z6-y4lbUxk
Demented are Go!: Surfride to Oblivion
http://www.youtube.com/watch?v=gJ3g6O6iUN4
The Meteors: Phantom Rider
http://www.youtube.com/watch?v=cXBSf00HqLs
Hope that helps a bit. With Psychobilly, just keep an open mind and have fun!