The flagship of the Federation during TNG was the Enterprise-D and apparently only the best of the best served there. For example, Riker is repeatedly commended about his abilities:
From the TNG episode "Chain of Command I":
JELLICO: He [Riker] was your first officer for five years.
PICARD: One of the finest officers that I have ever served with.
JELLICO: Of course he is, Jean-Luc. I'm sure it'll all work out.
while in the TNG episode "Chain of Command II" it is stated:
LAFORGE: You're going to need one heck of a pilot to pull that off.
JELLICO: Is that you?
LAFORGE: I could do it, but truthfully, the man you want is Commander Riker. He's the best there is.
Also, not everyone is suited to serve in the flagship, as stated in "Hollow Pursuits":
PICARD: I'm not accustomed to seeing an unsatisfactory rating for one of my crew.
RIKER: I guess the issue is whether Mister Barclay is Enterprise material.
My question is: since the flagship gets the best of the best, besides bragging rights and prestige, do the crew serving there get any extra privileges?
A possible perk is having holodecks, as apparently few ships have them. Are there any more compared to serving in a regular ship?