Totally doable, in my opinion. I don't know any by name, but I'm pretty sure there are screensaver applications out there that support playback of media files and formats like mp4. I even turned this into a wallpaper for a while using Wallpaper Engine.
I love old retro green screen computers ............ to bad they were all trashed at the landfill sites. I have one old labtop with green screen.......but the 50 other retro computers I have are from 1995 on up to 2006. And one trash bin find which was a 2016 ACER which needs a graphics card yet. Rebuilding these computers, just for fun.
Ah, I wish! This was just a simple bash script I found online, looking fancy through the retro terminal emulator. I briefly thought about trying to make my own, but there's a lot to learn before getting there.
Quite appropriately, the script was called Hollywood, as best I can recall. Or sometimes referred to as Hollywood Hacking, I think. Very likely still out and about there!
This particular one was running in Ubuntu, but I believe both the Hollywood script and cool-retro-term are good for running on most popular linux distros, without any issues.
Please return to your deep-cryo berth pods. Everything is under control. There are definitely no intrusive alien lifeforms aboard. Thank you for your cooperation.