I searched boardgamegeek for games published in 1929. The only thing that grabbed my attention was Shambattle, the first published American miniatures wargame. It is an early, possibly the first, modern miniature wargame that used dice to resolve combat (no spring-loaded toy cannons like in Well's Little Wars for instance).

https://boardgamegeek.com/boardgame/31562/shambattle-a-game-...