What services? Services are generally things people want done but don't want to or can't do themselves. In a star trek world I would expect these things that are still relevant (e.g. tax support services and the like obviously wouldn't exist anymore) would be handled by robots, which themselves are made by the replicators.
There would still be things to do of course. But they would be things that people want to do and wouldn't need to charge for since they no longer have rent or food/utility bills to pay.
Right now, if we look at just music, there are some people in music because they love it and it's their life. There are many more people who are there because if they make it they'll have insane amounts of money. But pretty much no one can do it for free because everyone has to buy food.
If there were no more money and no more bartering, only the first group would stay in music and they wouldn't need to be paid for it because they wouldn't need money.
I expect things like real TV would go away because that kind of stuff is mostly to push advertisement and without money what would you be advertising?
There would still be things to do of course. But they would be things that people want to do and wouldn't need to charge for since they no longer have rent or food/utility bills to pay.