One good source to finding to inexpensive used board games is using craigslist and other platforms for your local area, I see lots of garage sales, estate sales, and even low cost board games in the toys/games sections.
If you do not check craigslist, or other platforms... you should start checking for a local resource for finding and buying used board games and puzzles for your garage board game shelf, another great resource is your local second hand stores; like Goodwill and so forth.
These places will save you money buy purchasing used board games from them, rather then buying new games.
The amount of money that you save buying used over a new board game is a lot and you can get more board games for your dollar this way.