I used to recycle AOL CDs and make flashy bird scarers for my parents' fruit garden...
A long time ago in a galaxy... er, state... far, far away, my first-floor apartment flooded. I had a lot of board games stored in cardboard boxes under my bed, and sadly, I had to throw away most of the game boxes, although in many cases the game boards and the components were okay. (And yes, I store things in plastic containers now.)
Turns out games are much harder to play when you can't easily browse through them, so even when I wasn't crammed into a tiny apartment in New York and had sufficient shelf space again, in a lot of cases we replaced the games or just did without rather than going through the Ziploc bags to find the components to match one of the loose stack of game boards.
If you have a full, playable game, then there is a large market out there for them, or donations to orphanages, children's hospitals, thrift stores, or random small relatives can often be the best option. However, I also discovered that there is a whole world of game component selling and buying, over and above buying the actual game, and we also had a lot of fun doing interesting things with the components.
We made some magnetic games to hang on the wall to play... my parents still have one of their most competitive Scrabble games hung up. Decorating works too. This is the first step up to my loft, which my sister decorated while I was out of town:
For work once, we were supposed to lead our teammates through an exercise (could be anything, the point was the leading/teaching), and I took a pile of Robo Rally cards that didn't have a box anymore, and some poster board, markers, and a couple of flags from Amazon, and made a giant human-sized Robo Rally track for people to work their way through. It was *so* fun. :)
Other people are getting creative too. If you go to Etsy, you can find
Scrabble tile earrings,
Scrabble handbags made of repurposed game boards,
And lots of game boards just framed as art:
