I think this is meant to be called Jack Attack - that's what the screen says, but the tape cover insists it's Jack Attac.
In Jack Attack, you are Jack, and you must rescue your sweetheart Jill who is languishing in a cell. To do so you must find the correct key, and to find the key, you must explore the beanstalk and penetrate the Giant's castle and gardens.
Odd sort of beanstalk, this, with locked doors barring your path, moving platforms to bear you aloft, keys and assorted things lying around, mean-looking nasties patrolling. More like a computer game than Jack and the Beanstalk, if you ask me. It only livens up when you find the key to Jill's cell, which has the effect of waking up the Giant, giving you just two minutes to make your escape.
Familiar stuff, with nothing much to distinguish it from all those other ladders 'n mazes games you've played.