How about Radioactive from image dragon here's a link to the song http://www.youtube.com/watch?v=eu-xFvLaE68 I know its new but it does fit the theme.
I don't know where the idea that Fallout radio music had to be 50's tunes comes from. There were no 50's tunes in Fallout 1 or 2 ~not even the title tracks that represented their post war society. [Kiss to Build a dream on was a 30's tune that Armstrong recorded in '51]
Fallout was about their new generation of people born after the war and living with the aftermath/ with exceptions for the very long lived mutants and ghouls who were also living in the wrecked remains of the pre-war 50's idealized future.
The ambient tracks in FO 1 & 2 represented the attitude and atmosphere of the areas where they were heard... No 50's vibe in Junktown or the Hub, or NCR... nowhere but perhaps in Vault 13.
There were no 50's greasers hanging out ~~like the Tunnel Snake, [which I looked at as a mistake btw]. The Kings in NV made sense only because it was Vegas; IMO.
Well, I have a lot. Unless you really want me to post all of them just ask. But anywho, here's some music I'd like in the game that would fit in with the setting and '50s cultural ideals and whatnot:
Some Johnny Cash songs; Ring of Fire (good intro song), I Walk The Line, Big River, Folsom Prison, etc.
Put some [censored] Elvis in there! Hound Dog would be good, as well as Devil in Disguise.
Also, I'd like some Chuck Berry and some Little Richard in there, as well as the usual suspects.
I like the idea of having ambient music for when you're out and about in the Wastes, the more retro-sounding 50's stuff when you come by a radio, etc. And then when you're in a town or something, I don't see why you couldn't do something like what Infinite did and have some new standards, but redone in a style that fits the setting. I could see a bunch of settlers sitting around a campfire with cobbled-together instruments doing a Wasteland version of a more current standard, for example.
Or sneaking up on a group of Raiders humming a six Pistols song or something.
With all of this, however, it's also important to keep an eye on overall tone. Fallout's got a unique setting (how far and way Bethesda took things is another topic entirely,) and you risk washing that out by incorporating too many different artistic influences. I think you could feasibly fit more contemporary songs in Fallout, but you'd always have to keep an ear towards making sure it's all been properly contextualized and that it all "sounds" as if all these songs fit in the same game.
Was just about to say that but forgot. That's in my top 10 for Fallout 4.