I am having the same problem. The game crashes immediately when I try to execute it via Steam with a "Fallout Launcher has stopped working" error.
My HW (easily) meets the minimum requirements. GTX-970 graphics card, 12GB RAM, i7-990x processor, multi-TB of free disk space. I did a clean install of the latest version of the NVIDIA drivers, and also tried changing Steam, Fallout and Fallout launcher to Run as Admin and experimented with different compatibility modes. Nothing helped the problem.
I noticed that I can get the Fallout Launcher to run if I execute it manually from the C:\Program Files (x86)\Steam\steamapps\common\Fallout 4 folder. However, when I click on "Play" it crashes immediately with a "Fallout Launcher has stopped working" error. After that, I have a wait several minutes before I can get the launcher to run again.
Customer service is awful. I have yet to get any response to the support ticket I put in on release day other than to tell me to make sure my drivers are up to date. Of course, I mentioned that in the original support ticket.
Does anyone have any idea how to fix this???
Thanks!