Looks like PopcornTime was rendering subtitle text as HTML, inside their app (html/js-based), creating an XSS vector (looking at https://github.com/popcorn-official/popcorn-desktop/commit/a..., https://github.com/butterproject/butter-desktop/pull/602). Likely the javascript runtime they're using allows file access and execution of arbitrary executables, enabling the metasploit shell shown in the demo.
For VLC there are a bunch of out of bound reads and heap buffer overflows.
f2b1f9e subtitle: Fix potential heap buffer overflow
611398f subtitle: Fix potential heap buffer overflow
ecd3173 subsdec: Fix potential out of bound read
62be394 subsdec: Fix potential out of bound read
775de71 subtitle: Fix invalid double increment.
The article implies that VLC and the others are affected by the same issue (leading to code execution), but according to available information it seems to be completely different issues.The Kodi issue was a zip archive path traversal (i.e. no protection against zip files extracting files to parent directories).