Update: Release 2.5.0 of @typescript-eslint/eslint-plugin and @typescript-eslint/parser has fixed this issue. Leaving this repo here for posterity.

Minimum example to show what seems to be a parser conflict when using typescript with .vue files as a demonstration for issue 970.

After cloning the repo, do:

npm install
npm run lint
# or npx eslint src/*.vue

And you will get the error:

src/file_b.vue
  3:23  error  Parsing error: '>' expected  vue/no-parsing-error

Remove src/file_a.vue then there is no errors.