I am flying from USA to India and transit airport is in Amsterdam and Paris.
Forward journey is USA -> Amsterdam -> India
and return is India -> Paris -> USA.
I am not planning to go outside airport.
Do I need visa even to stay in the airport?
BTW, I am Indian citizen with valid US visa.
I researched some past questions and found that a Schengen visa is needed if flight is between Schengen countries. Is a Schengen visa/transit visa required for a transit flight through two Schengen airports?
You are in a slightly different situation than the Vienna/Frankfurt question as you will not take any flight between two Schengen airports. The fact that you are not taking a flight between Amsterdam and Paris but only stopping at one Schengen airport each time (whether it's the same on the way back or not doesn't matter much) does make a difference.
In that case, you don't need to enter the Schengen area and the rules for airside transit apply. And since you have a valid US visa, it means that you can transit without visa. As an Indian citizen, if you did not have a US visa, you would still need an airport transit visa in Paris (not in Amsterdam).
Do I need a visa to transit (or layover) in the Schengen area? contains all the details.
