*Google "free board game templates" or "blank board game templates" and you'll be ready to go!
One of my grandson's favorite activities in first grade was designing his own game. The teacher gave them a blank game pattern that they glued to a file folder. The children got to make up rules, penalties, markers, etc. That's a powerful opportunity for a kid! Wouldn't it also be a fun activity with a partner or small group?
How about asking parents to donate used or new games? Adapt the games for skills and standards. For example, one teacher said she took 4 old Candy Land games and wrote letters on the cards and board at the beginning of the year, then numerals, words, and math facts. Children never want to do a worksheet again, but a game is a “sneaky” way to get them to repeat key skills.
Here's another site where I found Bingo, Jeopard, Checkers, and other board games: