Dream Hunter Rem(1985)

Rem is an ordinary woman in our world, but in the world of dreams, she becomes a dream warrior, defending humanity from the evils there. When dream demons reach the waking world, she fights them with the help of her pets which transform into a tiger and wolf.

Note: This series was originally produced as a single episode OVA, which featured explicit sexual content. After the release of the first episode, the production of the OVA changed and the first episode was re-released with another episode bundled together, while also replacing all the sexual content with new scenes. The second and third episodes followed suite and contains no sexual content either.