It is mentioned in EPISODE I that Anakin can "...see things before they happen."
This is, of course, true but we saw very little of it in the film itself. Some peculiar events would talk place inside Watto's shop that one fateful day on Tatooine, however. These events would have more clearly illustrated Anakin's prophetic talents, but alas they were ultimately deleted.
There are two particular shots I'm going to mention here. The first takes place the very first time that Anakin and Padmé converse in Watto's shop. In the original screenplay, Anakin not only asks if Padmé is an Angel, but he goes on to describe just what these elusive, beautiful creatures are in a little more detail than in the film. Here's the excerpt from the Episode I Illustrated Screenplay:
Are you and Angel?
An Angel. I've heard the deep space pilots
talk about them. They live on the moons of
Iego, I think. They are the most beautiful
creatures in the universe. They are good,
and kind, and so pretty they make even
the most hardened spice pirate cry.
Padmé looks at him, not knowing what to say.
I've never heard of Angels.
You must be one...
maybe you just don't know it.
On the EPISODE I DVD, if you look at the web documentaries, one of them contains the screen tests for young Anakin Skywalker and you can see some of the Anakin hopefuls, including Jake Lloyd, saying the above lines.
The other scene I want to mention is from the EPISODE I Novelization. This scene displays Anakin's prophetic talents. As we all know, Padmé will become the mother of little Luke and Leia in EPISODE III. This scene featuring Anakin and Padmé takes place just after Jar Jar hits the nose on the Pit Droid to shut it down. It's not in the Illustrated Screenplay so it must have been removed fairly early on.
"I'm going to marry you," the boy said suddenly.
There was a moment of silence, and she began laughing again, a sweet musical sound he didn't mind at all. The creature who accompanied her rolled his eyes.
"I mean it," he insisted.
"You are an odd one," she said, her laughter dying away. "Why do you say that?"
He hesitated. "I guess because it's what I believe..."
Her smile was dazzling. "Well, I'm afraid I can't marry you..." She paused, searching her memory for his name.
"Anakin," he said.
"Anakin." She cocked her head. "You're just a little boy."
His gaze was intense as he faced her. "I won't always be," he said quietly.