I served and there isn't one right that I feel was compromised. So, please explain.
You don't have Freedom of Speech. I remember when Clinton instated the don't ask don't tell policy while I was stationed in Germany. Some of the soldiers simply couldn't resist and put signs up in protest. They were told they were not allowed to state their opinions and that if they didn't take the signs down they would get written up. How much further our commander would have taken it, I don't know but it was generally agreed by all we no longer had that right.
The right to bear arms. I know that it may seem weird but soldiers living in barracks have this right compromised. They are allowed to own a firearm but if they live in the barracks they must have it locked up in the armory and are not permitted to keep it in their rooms. This is not the same for someone who lives in housing. They are permitted to keep firearms in government housing.
Those are two instances that I can remember.
I did 45 in a thirty and didn't get pulled over so there must not be a speed limit...
The UCMJ is structured such that one voluntarily gives up many civilian rights when the oath is taken. For example, how often does the military have trial by a jury of one's peers? It doesn't. There is NJP and courts martial. Ever hear of charges being dropped because a suspect wasn't read their Miranda rights? That's because they do not apply, at least not in the same way.