It would be hard for me to give an awesomly incredible review about anything, but i find you're on a good path.
However, you must be aware that there is already some competition on that field.
Notably, there is a collection of video that seem to have the exact same name (Fallout Lore) and a better visibility.
Here a link :
https://www.youtube.com/watch?v=nvqm_pPD-aQ
Compared to them, i must say that you provide more complete and better information.
Those vids were very disapointing, considering that 75% of their content were questions or random stuff, and 25% were barelly scratch informations.(and were too focused in Focr3p)
Here, considering that you intend to do another video about their other groups, i don't see much missing information about BOS history.
I would probably mention that the BOS also declined because of their many wars agains't the unity, and their refusal to recruit.
On an other hand, there isn't much mention of the Brotherhood of Steel culture (Gathering and keeping technology, following the codex, not recruiting, being isolated etc...)
Those factors are quite important.
On a more subjective point of view, i think that the names of games (Fallout 1, Fallout 2, Wasteland) shouldn't be mentionned, as when you see the video your immersed in the fictionnal universe. Mensionning names of products could break that immersion.
But that remains very subjective, as i don't know your angle to deal with these vids.
On a side note, it could have been interesting to have very basic informations about the NCR. Not really describe them, but mention the minimum intel, but if someone that doesn't know anything about the fallout universe happen to see your video, he wouldn't be lost.
I don't think Unity/Vipers need more informations. The vid is not about them and you provide enough to understant the situation.
Your voice or the one that you chose is pretty effective. Not much mistakes or hesitations, not much accent, a correct rythm.
This is far better that most videos that you find on the internet. But, on the other hand, you face a competitor (link above) that use probably a professionnal voice. Seems hard to compete right know, but if you make many videos and intend to increase the number of views, a professionnal voice is an option that could be considered.
Other that the voice, the choice and the order of sentences is not always perfect.
Sometimes, there is a little confusion on who's you are talking about.
For instance, you talk about the brotherhood moving from Mariposa to the Lost Hills bunker, and the same time, you deal with Allen's crew. Then you say "They finnally arrived" just after talking about Allen/The Glow.
So, for a few seconds, we are confused about who arrived when. The confusion last only a few seconds from an hard fallout fan, but it's make uneasy, and make yourself pointing a mistake, instead of fully appreciate the content. If The video is your first entry in the Fallout Universe, that kind of things could make you lost.
I used the Allen Example, but it is not the only time this happens. IMO you should focus on one subject at the time. If you mix things, you make produce that kind of mistake.
Visually, i don't see much video effect, and that's not a big issue, but i see many nice pictures effects that greatly enhance the visual quality of the video.
The green screen on the background is not my taste but it serve it's purpose, as all pictures have not the same proportions.
I am not fan of seing Maxson Talking. Seems out of the place. I would rather see his photos, the text and hear his voice.
It would allow a bigger picture of him. Plus, it is the only guy we see talking and it doesn't render great.
Also they is a lot of unecessary things on the screen when he talks.
A very minor addition could be some shadows or borders on your text, so they would be seen better, and feel more pro.
Otherwise, it seems promising.
I am very curious to see what you will provide next.
(and the first episode, if you have a link)