I made a wormery from some instructions I got via Freecycle. sorry I cannot find them now. I have never introduced worms as I found out you needed the ones from a fishing shop, I thought you just put ordinary ones in it. As with a lot of things, I never got around to getting them!! I can tell you how to make it though.
Get four of those stackable storage boxes. Cut out almost all the bottom of three of them, leaving a ledge around the bottom perimeter. Get some smallish gauge wire mesh. I got a piece from the garden centre, the type with small metal squares. Cut the square the size of the base of the boxes and lower them in, the little ledge you left will hold them in place. Stand the three boxes with wire in them on top of the still in tact box. Start placing your rubbish into one of the boxes, if it is small rubbish that will fall through the mesh, place a sheet of newspaper in the bottom of it. Cover the rubbish with a piece of wood, bit of carpet, or whatever you can find to fit the box. When the box is full, start on the next one. They will compress down and the 'juice' from them will hold in the bottom one. You can fit a tap to the bottom one if you like. I didn't bother, just fish the liquid out with a jug when I need it. Please note that at some point you introduce the worms. Not many people would want a wormery without them, except me....LOL!!!