I design board games. It will be a challenge to design one that will last 1000 years, but there's at least one that I have designed that I think has a chance. It's called Proximity.

I made and released a web version of it 14 years ago, and it's still my most played design (I desperately need to find the time to make a modern update, though. HTML5 at least). Doesn't exist in physical board game format yet, but I'm going to try to get a publisher for it in the next year or two (only been networking with the board game industry the past two years).