Here's a little thing I notice, that constitutes quite a deviation from the book:
in the book it was the third finger of Frodo's right hand that had been bitten off by Gollum. In the film it's the index finger (I think) of Frodo's left hand... why would they change this? Would they change such things for any particular reason?
'But this I will say to you, Celegorn the fell, by the sight that is given me in this hour, that neither thou nor any son of Fëanor shall regain the Silmarils ever unto world's end. And this that we now seek shall come indeed, but never to your hands. Nay, your oath shall devour you, and deliver into other keeping the bride-price of Lúthien.'