When comparing Python Module of the Week vs CheckiO, the Slant community recommends CheckiO for most people. In the question“What are the best resources to learn Python?” CheckiO is ranked 18th while Python Module of the Week is ranked 46th. The most important reason people chose CheckiO is:
Users can publish their solutions for different problems and other users can review the code and give their opinions on how they would have solved the problem. Sometimes, some of the most active users get their code reviewed by Guido Van Rossum (the creator of the Python language) himself.
Ranked in these QuestionsQuestion Ranking
Pros
Pro Covers the standard library in an easy to understand way
Detailed, and readable, descriptions and examples of many Python modules.
Pro Multilingual
The resource has been translated in Chinese, German, Italian, Spanish and Japanese.
Pro Has been peer reviewed

Pro Community backed solution reviews
Users can publish their solutions for different problems and other users can review the code and give their opinions on how they would have solved the problem.
Sometimes, some of the most active users get their code reviewed by Guido Van Rossum (the creator of the Python language) himself.
Pro Available in multiple languages
CheckiO crowdsources translations for problems. Currently problems have been translated in 10 languages. So it's highly possible that eventually more languages will be supported.

Pro Ability to create new challenges
New missions can be created and uploaded using GitHub. After that is done, it's suggested to CheckiO and if it fills all the requirements after being reviewed by a CheckiO team member, it's pulled into the game.

Pro Challenges from GitHub, O'Reilly, Dropbox and Hubspot.
Cons
Con No index is available in the book
Book version of PyMotW lacks an index.
Con Not for absolute beginners
CheckiO does not teach syntax, instead it teaches how to solve problems using a particular programming language therefore some basic programming knowledge is required to start.
