ugh there really is no story to New Vegas. NCR is at war with Legion, and players like House and Benny are trying to get into the action.
To the uninformed eye, it would appear that way, but New Vegas's story is so much more deeper. NCR has invaded New Vegas, which House has had first claims on, House being able to be destroyed, and NCR with the huge risk of a Legion offensive, they both see it better to just play nice, then soon after the NCR reaches the Mojave, the Legion show up ready to crush all they can. The NCR just barely wins by Chief Hanlons tactical ingenuity, the Legion is utterly disgraced for the first time in it's history, leading to the Malpais Legat being thrown and burned off the Grand Canyon. Fast forward to the Couriers arrival, the three big powers, House, NCR, and Caeasars Legion are at a very thin stalemate, with the Legion breaking it. From there, it's up to The Courier to determine which power, if any, should run Vegas, determining Vegas's fate for decades to come.
Fallout 3's story is about a kid leaving the Vault and seeing the outside world for the first time in his concious life. From there, he searches for his father who abandons him in the Vault. He tracks down James after much fetching for people, then tracks him down to another Vault, after this, they attempt to restore Project Purity, but James commits suicide in what he deems the greater good. The Lone Wanderer quantessentially joins the BoS and tracks down a GECK, is captured by the Enclave, escapes, and helps in an assault on the Enclave, starts Project Purity, The Lone Wanderer escapes death by the luck of God, helps continue the fight on the Enclave, and that's about it.
From a personal perspective, Fallout 3 might seem more appealing, but to me, New Vegas's story is much more compelling for me.
Edit: Removed part of the quote that was unrelated to my post.