If you liked
Giniro no Kami no Agito
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...then you might like
Eden (ONA)
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Was reminded of Origin: Spirits of the Past while watching EDEN. Girl awakens from cryo-sleep, fated to heal the world and amend the relationships have with nature. Somewhat similar post dystopian world, technology/nature taking over human settlements. Both involve a lot of mecha/tech/military and battles. A lot of lore regarding the past of the world and how it became "dystopian" and how humans are involved in its destruction and the forces that seek to destroy humans to protect nature itself. Both vaguely bring about the same feeling and mood, but follow very distinct storylines. I'd recommend watching these based on the type of worldbuilding and lore that envelops the stories, not necessarily the stories themselves being that similar.