I think the question arises by itself ^^
Probably "Troy - Downfall of a city". However, I stopped after three episodes or so, because I found the implementation of the material somewhat weak. However, I do not know any better series on Greek mythology, and the series honors all the essential elements of the story.
I think you confuse entertainment with serious documentaries.
In series (entertainment), the reality is adjusted to what suits the author best. That falls under "literary / poetic freedom".