Munchkin is an anachronistic joke, but all of the other board games in Nick Chopper's cabinet are period accurate.

Go, Marbles, Snakes & Ladders , and the deck of playing cards are ancient games, of course.

Gillikinese Checkers is naturally what Ozites call Stern-Halma, Travellers' Tour Through the Oz represents the 19th century board game Travellers' Tour Through the United States, and The Landlord's Game is the original version of Monopoly, coming out in 1904.

One of the obscured games might be chess. The other one could be anything.