Not sure if they're still doing it, but GitLab does the code review interview, and I too really liked it.

Before the interview, you clone the repo and get the app running on your machine.

For the first half of the interview, you review a pull request in real time. There's a mix of obvious and non-obvious callouts. And the second half, you actually implement your suggestions.

Honestly the code review portion alone is a great indicator of a dev's experience and soft skills.