Roger Ebert's web site opens a positive review with this:
Your enjoyment of “See How They Run” will depend on your appreciation for its two most prominent elements. The first is the genre of the classic British murder mystery and the names associated with those who created them and those who parodied and meta-commented on them. And the second is the genre of meta-commentary itself. There are air quotes and winks at the audience in almost every scene. I’m fine with both, so since the movie is exceptionally well cast and stylishly filmed, I thought it was a hoot.