Shep, "Twelve Monkeys" is a rather old movie (nineties I think, but not sure) I stumbled across when researching for a school presentation on post-apocalyptic fiction a year ago (the same presentation that made me find SSSS in fact). I think it got a remake recently, but I´ve only seen the original, back when the entire lockdown-thing started.
It´s set about 40 years after a pandemic forced humanity to live underground because the entire air was filled with the virus. Nobody was able to find a cure up to this point, the only thing they know is that the virus was unleashed by a terrorist organization called "twelve monkeys". In trying to instead prevent the outbreak happening in the first place, they send criminals back in time to research and find the cause. but the time-machine isn´t the most... precise.
It focusses less on the virus and more on the action around it, but it was a fun movie I think, even though not exactly logical. I enjoyed watching it.