I keep the fancy ones. The clam shell packages I throw away , after testing the reel a day or two. 

I started to keep my reel boxes. Probably because I threw away the boxes my Lunker Punkers and Shellcrackers came in. Throwing those presentation boxes was a smart move on my part.

I keep the boxes.  I have them stacked up on the end of my work table.

I keep my boxes on a shelf in the garage.

I also label them by numbers if I have more than one specific reel. I keep the extra parts that i take off in them.

I feel that if a person is willing to keep the original box then they're more likely to take better care of their reels.