Instead of money, people look to accomplishments for social status and distraction.
That's basically canon, established in the uhh season 1 finale I think it was? They unfreeze some people from the 21st century and the one rich guy is questioning what the point of it all is if money isn't around anymore.
Captain Jean-Luc Picard: This is the 24th century. Material needs no longer exist.
Ralph Offenhouse: Then what's the challenge?
Captain Jean-Luc Picard: The challenge, Mr. Offenhouse, is to improve yourself. To enrich yourself. Enjoy it.
I can't speak for everyone but if there was no capitalism and I needed for nothing I would seriously just go door to door asking folks if they had any computer/tech problems I could take a look at for them. Can you imagine how absolutely insane O'Brien would go if he had no problems to fix?