After doing the first one I worked out a system. Firstly cover two of the long sides(if rectangular) with tape, bringing the strips around the corners by about an inch. Then do four strips on the underside of the box. Also put four strips on the inside lip of the box too. Now your box is prepped.
Cut out a piece of light wrapping paper that is at least 2 1/2" bigger on all sides. Remove the backing from the tape and place firmly face down on the reverse of the paper.
Make a cut in the paper that run parallel to the longest side of the box, repeat this for the four corners. What you should be left with are two long strips either side that you can fold up and two smaller ones in the middle.
Trim the edges of these longer strips by about an inch on all four sides. Then remove the backing for your tape on the one of the long sides of your box. Delicately fold up the paper, you are left with two tabs either side that can be folded around the corners to go onto your overlap of tape. Repeat this step on the opposite side.
Now remove the tape from the inside of the these side panels. Because my box was quite shallow I didn't need to make any cuts in the paper, I was just able to fold them down.
You are now left with the two side panels. Just add some double sided tape to the two edges, and fold up repeating the last two steps above.
If the bottom part of your box is visible you can cut out an insert of paper to go inside to cover the last panel, just tape in with double sided tape.
Repeat all the above parts of the tutorial for the lid of your box, and hey presto you have a pretty box. This seems like a lot of work the first time you do it, but you find yourself getting into a rhythm pretty quickly.