By "cheesecake" I meant artwork akin to pin-up girls.

Bringing this thread back on topic, a few minute searching for "Japanese zombie films" brought up the B movie "Wild Zero"

The plot goes something like this:
Ace helps Guitar Wolf defend the honor of Rock n Roll against an effeminate night club owner who insists cheeseball pop is the way of the future. For this, Guitar Wolf makes Ace a blood brother and gives him a magical whistle that he can blow and summon Guitar Wolf to help him anytime.
Ace meets a girl and, later, tries to help save her from zombies that were somehow created by aliens in flying saucers. The aliens aren't elaborated on, you just see their flying saucers and are led to make the connection between the two.
Then, a handful of zombies, exploding heads, laser beam eyes, guitar-swords, fire-spurting microphones and shouts of "ROCK AND ROLL!" later, the movie ends.

The DVD even has a built in drinking game. A small mug icon appears on-screen when one of the following things happen:
-a zombie head pops
-someone combs their hair
-fire shoots out of anything
-someone yells ROCK AND ROLL!
-someone drinks
-something explodes