Comment 1 for bug 1642901

I've just verified that ffmpeg 3.2-2 from zesty starts fine after installation in a minimal chroot.
Your problem is caused by third-party libraries.
To identify the problematic one, try running the following command:
$ for lib in $(ldd /usr/bin/ffmpeg | sed 's/.*=> \(.*\) (.*/\1/'); do [ -e "$lib" ] && ldd "$lib" | grep libSDL && echo "$lib"; done
 libSDL2-2.0.so.0 => /usr/lib/x86_64-linux-gnu/libSDL2-2.0.so.0 (0x00007f2c0db1e000)
/usr/lib/x86_64-linux-gnu/libavdevice.so.57

As you can see, there is no libSDL1.2 here thus I'm closing this bug as invalid.