I would say the best story, from Fallout 3 to Fallout 4, was in New Vegas, even though Obsidian didn't get a chance to finish the game properly. It's like one of their previous games that I still like, which is KOTOR II: The Sith Lords. The story line wasn't completely fleshed out. Every planet had missing parts, and plots, etc., and even needing work on other things. However, they were also rushed in that project, and had their elbow jostled too many times while trying to get things straight. Wonderful writing, and character backgrounds. Needed more work on the story, and even the planets, but still a great game. New Vegas is like that, great game, to a point, great story writing, great characters. The only thing lacking was the feeling of completeness, or areas where there could have been more worked into it. Lonesome Road could have been much better, and better choices, if they had written a better story for it to begin with. But I feel it was back to BGS for that one, and they screwed the pooch on it.
Anyway, I think that Fallout 4 fails in so many way. I have stated why in a few thread, but allow me some highlights. Fallout 4's perk chart is laughable, at best. The console dialogue is a mess, and sarcasm is non-existent. The settlement building should have been done in a DLC, if at all. And wasting 3 DLC's just on settlement building? There could have been better stories out there. Or even more. But they wanted more settlement stuff. And it's like they tried to "modernize" the game, but failed with it so badly. The game engine is the same one they had been using since Fallout 3, and perhaps even Oblivion. (Not sure about Morrowind, but still it is not that great of an engine.) They could have used a better engine, Unreal maybe, and the old levelling system, that worked well. And even added to the game. The dialogue was written, it seems by an 8 year old who didn't understand what they were writing. And the voiced PC? They could have done it much better. If nothing else, steal the dialogue from the Saint's Row games. That would be funny. And stick with the old stuff, it works, maybe not extremely well, or for a game pad, but it works. Also, the perk system didn't need a major overhaul. It needed adjusted for Fallout 4. And they could even had added in more RPG elements to it, and not just been a FPS first. Maybe BGS wants to dumb down games to show that their engine still works, despite being outdated.