Twelve Monkeys (1995) on Netflix

Terry Gilliam's nightmarish low-tech/high-tech future vision takes place in 1997, after a deadly virus has killed 99% of the human population--forcing the survivors to flee beneath our planet's surface. This leaves the (other) animals topside, to rule the Earth once again. The scientists select James Cole, an imprisoned sociopath, to return to the past and gather information useful in the defense against this contagion. Once back in time, he is to investigate the mysterious 'Army of the Twelve Monkeys' and report his findings. Scientific, social, and political themes like time travel (and its inherent paradoxes and nested loops), mental illness, the nature of reality, animal rights, and the Armageddon-potential of unchecked technological advances are artfully and cleverly explored.