Hard to say if I am honest. I think that is what makes LM special. It doesn't fit in a standard genre. I'm not sure what it is. I view Zelda as adventure. LM is more action/horror/puzzle. I lean mostly towards puzzle than anything. For me LM isn't the same genre as Zelda. Granted Zelda is always puzzle heavy. I find genres hard to define in modern gaming. Pikmin is one of my favorites as well, again not sure what genre that is. Resource management?
Pikmin is pretty well defined, RTS, real time strategy. Generally Zelda and LM are both considered Action-Adventure.