Not very many, unfortunately.
Freedom from Slavery / All are Born Free: False
The clones were "born" into a life where they were meant to serve whatever purpose they had been commissioned for - in this case, as soldiers. They were property of the Republic, bought for money from the Kaminoans. According to Star Wars: The Clone Wars: New Battlefront, they were considered the flesh and blood / mentally superior equivalent of battle droids, when it came to value of their lives. Of course, this is not how the Jedi who fought with the Clones thought of them, but the Senate's and the public's view of them was as living objects.
Freedom of Thought: False
Despite their greater individuality as compared to droids, the genetic tampering that had been part of their creation, did mean that most of them were born with severe limitations when it came to being able to exercise free will - even the more autonomous of the non-ARC troopers, such as Commander Cody, were unable to disobey Order 66, even when it meant trying to kill General Kenobi - someone he personally respected and was a friend of.
ETA: In addition to genetic tampering, the clones' lack of freedom to thought (especially as related to Order 66) was enhanced by Inhibitor Chips. Supposedly, meant to 'just' modify thought and behaviour by preventing clones from being overly independent and aggressive, the true purpose of these chips was to ensure unthinking obedience of Order 66.
As seen in the opening episodes Season 6 of The Clone Wars Tv-Series, a malfunctioning chip caused the clone 'Tup' to prematurely execute his Jedi General Tiplar; and he did not seem to remember his actions afterwards. This led the clone 'Fives' to discover the existence of the programmed order, but he was executed on framed charges before he could reveal his discovery to anyone else.
Freedom of Speech and Action: False
While we can't make any statements regarding the freedom of speech allowed to the Clones, we do know that at least during the course of the Clone Wars, retirement was not an 'official' option allowed to them, as mentioned in the question linked by Phantom42.
So, as per canon, they don't seem to have many choices, or rights.