Factual error: During The "What A Day In London" sequence, William Shakespeare is seen reading his line "to be or not to be" from his play Hamlet. Pocahontas did sail to London in 1616, but Shakespeare died on April 23rd 1616, when Pocahontas arrived on June 12th 1616.
Continuity mistake: When Meeko is running to Pocahontas on the ship you see the railing of the ship is not solid behind her, then you see Meeko vomiting over the side of the ship but the railing is now solid. Then when Pocahontas picks up Meeko and turns around the railing behind her has returned to a state that is no longer solid.
Other mistake: At the beginning in England, Radcliffe tells the King of John Smith's death as they discuss war, and the King says they will await the return of John Rolf, indicating Rolf has already left England. It then cuts to the first scene with Pocahontas, which is before Rolf arrives in America, and the friend says that it is a long time since the news arrived of John Smith's death. There's no time for this news to have reached them.