Armored Trooper Votoms: Origin of Ambition(1988)

Soukou Kihei Votoms: Red Shoulder Document - Yabou no Roots

After armored trooper pilot Chirico Cuvie is given orders to transfer to Planet Odon, he and all of the other new recruits are sent into a simulated battle to test their abilities. However, this 'simulated battle' turns out to be a serious fight to eliminate those without the necessary skills. Chirico survives along with just three others, despite the fact that he fought while injured. It soon becomes apparent that this is not the first time he has survived against incredible odds, a fact that Colonel Peruzen wishes to exploit. But is Chirico truly immortal?

(Source: Anime-Planet)