Start with a three panel card from Regal craft cards, and choose three dies, each smaller than the other (nesting dies are fine but they do not have to be the same shape to work).
Position the largest die on the front panel and cut. Next position the second largest die on the middle panel. (The card is folded as an accordion), so that it is within the window on the front panel. Fix it with removable tape if you want to be sure that it won't move, then run the (open) card through your machine. Repeat the process, using the smallest die for the back panel.
Now decorate each panel with die cuts, so that some of each sits over the edge of the cut out (so you will have to use fairlys tiff card) When the card is open a great deal of dimension is added to the design. In this example I've kept it really simple, fixing some rainbow parchment to the back panel for a "sunset/sunrise" and used black "silhoette" shapes - grass in the foreground, a branch and leaves in the middle and a tree at the back. You can however, join two or more three panel cards together and add as much detail as you like to the picture, including coloured images so make a really complicated card or, just a cool design to sit on a shelf at home.
This example is a made as a sympathy card with handwritten text. I hate my writing as much (if not more) than most people seem to, but it's perhaps the occasion when a personal touch is most needed and feeling self-conscious about it is nearly as important as conveying the message you want to send.