I call it; Pipboy Radio; and features the classic songs from all games (Or, at least the ones I can find on Xbox; being 3, New Vegas, 4 and 76); as well as Fanmade songs, and different renditions of aforementioned Classic Songs.
Here’s the Playlist in question:
If you want to help me out with songs for me to add or edit; feel free! (I’ll also try to locate a better Playlist image for the whole thing too)
Also, I was LEGALLY obligated to feature Die with a Smile; it’s kinda got a Fallout charm to it.
Yes, this was what I was working on while my Internet was being buggered by Spectrum’s recent construction project.
You either love Fallout too much… or you’re just insane 
I like to think that it’s a LIL’ bit of both.
With 119 songs in the playlist? Yeah, I can totally believe it’s a bit of both 
Oh that ain’t the end of it. I don’t feel like she’s complete! I need to have at LEAST covered Fallouts 1 and 2. (Might be hard, but we’ll see.)
A true Fallout fanatic 
And most likely waiting for Fallout 4
Funny enough, I was playing Fallout just 15 minutes ago too — though it was only Fallout 76
Hey, I ain’t going to call ya out. 76’s become fun again; plus, it was my Second game. Fallout 4 was my first!
People say Fallout 3 New Vegas and Fallout 4 are the best ones.
I only started Fallout 76 after one of the big updates following the series — it just happened to be free on Xbox Game Pass
It’s a good way to test the waters! Get a feel for the game as you consider if you want to buy it or not.