A few examples: The signs for 'wish' and 'hungry' look the same. The difference is the facial expression.
If you wanted to sign, "All we want to do is eat your brains", the order would most likely be: 'We want do-what? Your brains eat.'
There is another form of signing called 'Signed English.' It borrows most of ASL's signs but puts them in standard english order. It has been a bit controversial in the past, though.
You also run into odd colloquialisms or regional signs. I'm not quite sure what to call them. A quick example is the word 'grass.' I learned the sign for grass but, for some reason, that sign means 'truck' where I live currently.
Anyway, I'm rambling. If you have any specific questions I can try to answer them.
edit Watch this youtube video with captions enabled. The video is captioned in english and in "ASL": http://www.youtube.com/watch?v=UQYjZc7gKXc
Sign is incredibly conceptual and has a large spatial component. This is definitely a cool step though.
ASL can be very expressive and can be an art form itself. There's a neat thing in the deaf culture called 'ABC Stories.'
http://www.youtube.com/watch?v=wBUdzGH6WbU
They are stories that are told using the alphabet finger spelling signs.
Basically ASL (and other forms of sign language) use constructs and tense that don't necessarily translate well into specific words without lots of experience.
Besides this is a research project. Just goes off to show the potential a full body recognition platform such as Kinect can have.