Twilight Struggle
"Twilight Struggle" was the highest-ranked game on BoardGameGeek from December 2010 to January 2016. As of August 2018, the board game occupies a fifth spot. Being released in 2005 it is the oldest board game in the overall top 10 ranking.
Senet
Senet (or senat) is a board game from ancient Egypt, whose original rules are the subject of conjecture. The oldest hieroglyph resembling a senet game dates to around 3100 BC. The full name of the game in Egyptian is thought to have been "zn.t n.t ḥˁb", meaning the "game of passing".