It should just happen that many anime have used the design method of that logo. However, the words in their circles are definitely different. For example, in "The Confused Butler and the Cowardly Me", the words in the circle are The original Japanese name of the work is "まよチキ!" ” is the abbreviation of the work that was submitted at that time, “The Confused Butler and the Cowardly Me”.

Similar designs have also been used in "The Three Sisters of the Southern Family" etc.

So this is not the logo of a company or a series.