how about some sports activities, US dad wants to teach kid to play baseball but kid is huge cricket fan and cricket is superior, or US football compared to European Football (known to the masses here as Soccer). Food could also be a good area to explore, US dad takes kids out for burgers or kid takes dad out for his favourite Indian food and to teach dad a lesson he makes him eat a super hot curry.
A lot depends on the kids personality - is he a sporty type, geeky, into music US hip hop or heavy metal. Are they living in the US or in India or another area? What cultural differences exist dependant on where they live? Are they upper caste Indians who move in different circles from the rest of the community?