The New Book of Prophecy is a notebook collaboratively written by Hattori and his friends when they were kids. Besides Katsumata’s later additions, the book is a collection of seemingly disjointed predictions for the future. Through the series, all of the prophecies are never shown in one place and it is likely that there are more than what are shown, as suggested by the movies that include more than the manga. These seem generally centered around Fukubei's obsession with the expo and his desire for recognition. The prophecies eventually become the basis of Friend's plans during his reign between the Bloody New Years Eve and his resurrection.
The New Book of Prophecy is sent anonymously to Mon as he researches into Friend. In 2002, the book is passed on to Yukiji, not to be seen again until the narrative starts again in 2014. The prophecies include references to the assassination in the Shinjuku church, the new world leader, and the second virus release; all major plot points in the series.
The Prophecies:
In 2014, there will be a gathering at a church in Shinjuku. At that gathering a savior of humanity will arise in the name of justice, but be assassinated. And then a nightmarish world will begin once more.
The Pope will fall in the east.
Long live the expo. Long live the expo. Progress and harmony for mankind.
Ring Ring goes the phone and all the preperations are complete.
The devil's salesman wearing gas masks will drop their briefcases and the world will fall into ruin.
When the Holy Mother descends, she will bring with her either heaven or hell.
History will end in 2015.
And then, a new World President will be born. 60 million votes for and not one vote against.
The World President announces plans to colonize Mars.
Aliens on flying saucers attack the Earth and spread a killer virus.
The world is in ruins and most of humanity is dead. The World President and his friends are having a good time (movie only).
An anti-proton bomb will destroy the world. (last page of the notebook according to the UN profiler in 21stCB.)
(Note: many prophecies are not shown or quoted but merely alluded to. Those shown are displayed in chronological order here.)