How to make FPS animation like this?

Please, check examples (video with timing):

1) car exit and enter

2) plane enter

3) kill

How to make animation system like on the videos?

camera bobbing + camera animation + hands animation ?

 

Think of a camera with stuff around it. If you slide the camera over(maybe use SLERP) while the 'open door' animation plays, it should give you a similar effect. Same thing for the hands. The camera moving in sync with the other animations is what really sells the effect.

I'm speaking from my own experience. I've never made driving animations.