Hanoi Rocks fall into that "rock'n'roll", as opposed to "rock" category for me, along with the likes of the Quireboys, Dogs D'Amour, even the Black Crowes to an extent. Definitely a Stones, Chuck Berry etc influence, and there's always the horrible lurking threat that, instead of hearty powerchords, your ears may be assaulted by some honky-tonk piano or (shudder) saxophone. :x
All those bands have songs I like, but too many I don't like, I'm afraid.