Reproducible science: do entities exist requiring Level 3 of TOP standards?
There is at least one peer-reviewed journal, reScience, that explicitly publishes replication of existing work. 


  ReScience is a peer-reviewed journal that targets computational research and encourages the explicit replication of already published research, promoting new and open-source implementations in order to ensure that the original research is reproducible.


So as such it does require high TOP levels.

Overlay journals such as those in EpiSciences play well with reproducible science, since their model is that you put everything online first, and the "journal label" is applied by a review committee that agrees that the results are correct and worthy of inclusion in the journal