Use Xbox 360 controller today?

Is it possible to use an xbox 360 controller for all today's games? So for all games that can also be played with an xbox one controller.

Yeah, the game does not matter which controller you use.

The game may then show you how to defy the control layout of an Xbox One controller. For example, the latest Need for Speed.

But the controller is pretty much the same. Only a few buttons will easily look different

There are already existent because Xbox 360 controllers have as many keys as Xbox One. But anyway I would recommend you Xbox One controller because the sticks just look sweet.