Is there a list of the largest academic journal publishers, ordered by the number of journals they publish? One can manually browse through scholarly publishers' websites and see the number of journals they publish, such as:

Elsevier: ca. 4.330 journals
SAGE: ca. 1.200 journals
Inderscience: ca. 430 journals
Cambridge University Press: ca. 380 journals
Emerald: ca. 350 journals
Hindawi: ca. 230 journals
MDPI: ca. 200 journals

However, a manual search risks leaving out certain publishers, is prone to mistakes, and is quite time-consuming.
I would thus like to know: Is there already a comprehensive list of large academic journal publishers ordered by the number of journals they publish?
EDIT: I am not intending to crowdsource a full list here; such an approach would be flawed as well. The background for my question is that I would need precise data about academic journal publishers for a specific analysis, and before I go on to design a time-consuming data-collection method, I wanted to ask this question here.
There are a large number of predatory publishers who publish 300+ journals of no real value. So there is no way to include all publishers.
However, if you would be satisfied with scopus indexed journals, then you can download the excel file, sort it based on publisher and filter it. Thus, you will get a list of publishers with the number of journals. Of course, the list will be confined to scopus indexed journals (around 40000 journals by 4000 publishers).