Reddit reviews Greek Mythology in Texts: A brief reference for all of those who want to learn more about this subject

Yes, you are correct about the Bibliotheca, but you should remember that the version Photius read was much more complete than our own text. In fact, the epigram you quoted came from the original version but no longer occurs in any of our manuscripts. Sadly, it is incomplete! :(

There are many interesting books to read on Greek Mythology, but if that's what you were looking for in particular, I'd suggest you these ones:

• Edith Hamilton's "Mythology"
  
  
• Robert Graves' "Greek Myths"
  
  
• Timothy Gantz' "Early Greek Myth"
  
  If you are looking for primary sources, give a look to the index from https://www.amazon.com/Greek-Mythology-Texts-reference-subject-ebook/dp/B073SFB316 , it was written by a friend of mine.