I have both a very large dresser (waist height, six feet wide, very sturdy) and a very large bed (queen size) and a VERY small apartment.
I cut some sturdy lengths of... um... they're very thick pieces of wood, I don't remember the exact size, I just went to a lumber yard and said "I want that one!". Those became the supports for the wall side of my bed and the visible side is supported by my gigantic dresser of doom.
I use a step ladder to get up and down (I highly suggest using glow-in-the-dark paint so you can see where you're stepping in the dark) and there is a metric shitload of storage space underneath.
And if you have a cat? "Cave Explorer" becomes their new favorite one-player game.
An additional bonus is that when it's bath time, you know exactly where the little stinker will be hiding.