I think any world different from ours can be interesting, as long as there is a story to tell and engaging characters to see it through.
As to how it is supposed to work...
The worldbuilding in the star trek universe, at least by the TNG era, included some socialist / pseudo-utopian elements. The idea was all of civilization's basic problems were solved (mainly) by huge advancements in medicine, and with the invention of replicators: food/water and even "things" were immediately available to everyone, removing poverty, desperation, lack of education, crime, and competition in the process. This allows a civilization to grow wherein 100% of people's time can be committed to culture/arts/passions/sciences/education... whatever floats their boat.... and thus, a total inversion of our current economics. Everyone is in a job they love, or else they don't work at all.
Personally I think elements of that are against human nature... we are evolved around a world of limited resources and competition, and that won't change just because our environment changes. That said, technology like a replicator would surely have profound repercussions throughout society and government. It is hard to imagine what such a world would be like... I suppose on the individual level, you can think of it as if you'd hit the Mega Millions and knew you never had to work again. Personally, I'd spend my time doing things I loved (writing, say) without worrying about financial compensation. It seems possible (though debatable) that lots of things in society could function purely by the efforts of whatever people happen to love doing that particular thing.