I don't have a picture of a box I made so let me try to describe it with words.
I wanted a sliding top, but I didn't want it to show. So on the "open" side, I took a piece of the same wood as the side of the box, and glued it to the sliding top. That piece of wood was cut with a miter on the ends to match to the box.
So when you looked at it from the top, it looked like the sides of the box came all the way up on all four sides. It was only when you looked closely on the side that you saw the line between the side and the piece of wood glued to the top.
I handed the box to a friend and asked him to open it. It took him a while to figure out how the box worked.
That piece of wood worked well as a "handle" to grab hold of to open the box. And I chamfered the top.
Should have taken a picture of that box (I actually made two).
Go into the world and do well. But more importantly, go into the world and do good.