Here is the passage mentioning the Western capitals:
O Crusaders, if you are betting on Salahuddin, hoping for Mosul, dreaming of Sinjar, al-Hawl, Tikrit, or al-Hawijah, or dreaming of Mayadin, Jarabulus, al-Karmah, Tal Abyad, al-Qa’im, or Darnah, or dreaming of capturing a forest in the jungles of Nigeria or capturing nests of wild plants in the desert of Sinai, then know that we want Paris – by Allah’s permission – before Rome and before Spain, after we blacken your lives and destroy the White House, the Big Ben, and the Eifel Tower, by Allah’s permission, just as we destroyed the palace of Chosroes before.
Basically, he says, ISIS wants the world, and will get it by "Judgment Day":
We want Kabul, Karachi, the Caucasus, Qom, Riyadh, and Tehran. We want Baghdad, Damascus, Jerusalem, Cairo, Sanaa, Doha, Abu Dhabi, and Amman.
The Muslims will return to mastership and leadership in every place. Here is Dabiq, Ghouta, and Jerusalem. There is Rome. We will enter it and this is not a lie. It is the promise of the truthful and trustworthy (blessings and peace be upon him). Here we are and the days are between us. The bloodiest battles before Judgment Day are before us.
Adnani also warns of the choices available to current non-believers: Convert or pay a tax. He says the war against ISIS is a war against Muslims and Sunnis. He calls for supporters, particularly "Kurdish brothers" and those in Turkey, northern Iraq and Iran, to migrate to the Islamic State and kill the disbelievers, "so as to prove that our war is a religious war of faith versus disbelief, not patriotism nor nationalism."
He talks about what supporters will find when they get to the Califphate:
There is no difference here between Arab and non-Arab, nor between black and white. Here, the American is the brother of the Arab, the African is the brother of the European, and the Easterner is the brother of the Westerner. There is commanding of good and forbiddance of evil. Here, Allah’s Sharia is implemented.
Unlike in past speeches, he doesn't call for supporters to launch attacks on their own in their home countries. (A translation of his January, 2015 speech, Die in Your Rage, is here.) He briefly acknowledges ISIS' losses and says they are to be expected. But he says although they may lose a battle here and there, they will win the war. He says neither America, Europe, Russia, China nor Iran will be able to stop it.
