Now this is all based purely on my own choice and why I picked the one I did, and perhaps I am the one singular example of this, but I find that hard to believe.
To start with, I picked Fallout 2. Yet in terms of look, feel and general design I much prefer the original game, so why did I pick Fallout 2?
Fallout 1: The game I feel really excelled in how civilisation 'felt'. The towns were mostly rag-tagged and shanty, the townsfolk were often overly paranoid of newcomers, and even trading towns felt little more than just the collection of some traders under the watchful eye of a few guards.
Exploring the world also just felt 'right', such as going to the glow and having to make your way down there using nothing but a piece of rope, exploring the pre-war base ruins and trying to get through restricted doors and fix consoles whilst Rad-X and Rad-away seeped from every pore in your body really made the whole thing interesting, and stumbling on the masters underground vault after wandering around an already spooky run down church of brainwashed follower really added to the whole thing.
BUT the thing I always felt made me like Fallout 2 more than Fallout was quite simply your character...
In Fallout, you were the vault dweller. That's who you are, that's how you get identified throughout the game and anything else you do in the game always felt more like a part-time job you were doing just to make ends meet whilst you served your obligation to the vault, and never really seemed to determine 'who' you actually were, beyond deciding if certain people liked you, or hated you.
In Fallout 2 however, you may get called 'The chosen one' by your tribe... but it's only really your tribe who give a rats arse about that fact. To everyone else you're initially just a stinky tribal, and how your character gets identified is based entirely on what you have done with that character over the space of playing. So rather than being 'The chosen one who also became a boxer', Fallout 2 felt more like my character was 'The destroyer, well known boxer from new reno who comes from a tribe who see him as some heroic figure'.
And that to me made Fallout 2 much more enjoyable.
My character didn't feel pre-labelled into who they were in the game, but instead became known almost entirely through their deeds rather than a backstory that was based before I had even started playing.
So I have always felt the game was simply 'better' even though I much preferred the original Fallout in all other regard... other than that Fallout 2 had more 'choices'.