Sorry, I did not find the online version of the The Card Game ;) However, I found something similar. You might want to check it out whenever you feel the urge to generate band names but don't have enough people around to start the game.
With Band Name Generator you can create random (mostly funny) band names. Similar to the cover card in the offensive band name generator there are logos that are generated and actually fit the name.
Would you agree this creates some funny moments or is it complete bullshit in your eyes?