I will say a lot of the conspiracy theories you hear today were on the X-Files. The show, along with the internet, helped certain conspiracy theories get traction. My favorite is that Stanley Kubrick filmed the fake moon landing for NASA and put clues of it in his movies; especially the Shining. The kid wears a Apollo 1 1 sweater. There's a documentary about possible hidden messages in the Shining. I believe none of it (maybe aliens) but there are some interesting rabbit holes to go down online.
