Fallout 3:
*D.C was much more interesting to explore than New Vegas was. Much of New Vegas was an empty desert which can get boring at times, while D.C had you crawling through the irradiated ruins of the capital of the former most powerful nation on Earth.
*Fallout 3 had a better post-apocalyptic feel to it, everything felt desolate and that people were struggling to just get by.
Fallout: New Vegas
* Better Characters
* Better Factions
* Main quest was actually interesting
* Weapon modding and crafting
* Better DLCs
TL;DR Fallout 3 had a better setting/environment, but New Vegas was a better game overall. (Also, I still can't figure out how to make blank lines in order to break up sentences)