Episodes 10-12 of the Soukyuu no Fafner: Dead Aggressor - The Beyond series.

Yumi Ikoma and Ryou Masaoka are children who have been selected to take part in a top secret mission, to be the pilots of the first Fafner combat units; the last chance of survival for the human race. The enemy is ruthless, remorseless and is able to read the minds of humans. Therefore, the details of this mission are kept a secret even from the personnel involved. The young pilots must use all their courage and faith in order to survive and complete their mission or the fate of mankind would be compromised. (Source: ANN)

Chirico is awoken from cold sleep and separated from Fyana. His attempts to find her come to the attention of a Nextant, the replacement for the Perfect Soldier program. At the same time, the new Pope is to be nominated, and Chirico is religiously considered to be The Untouchable. With one of the nominees related to the Nextant, Chirico's actions will have far-reaching political ramifications. (Source: ANN)

Episodes 7-9 of the Soukyuu no Fafner: Dead Aggressor - The Beyond series.