Yes! I grew up playing Snake & Ladder[1], Ludo, Carrom among other board games. They're all very popular in India. One more indoor game that's quite popular in southern India is Channe Mane[2].

[1] https://en.wikipedia.org/wiki/Snakes_and_Ladders

[2] http://nivedithatm.blogspot.in/2012/11/long-lost-childhood-g...