Will give brainliest what are some of the areas of our lives that ancient greek culture still has influence over today?

You'd be surprised at how much influence ancient Greece has over modern day! Besides their mythology being incorporated into our products & media (see: the various Hercules movies, Percy Jackson, there's a cleaning product called Ajax, stronger than all of Grease!), it's safe to say that our government is inspired in part by the Greeks, who are credited with the first democracies. Like ancient Greeks, many modern countries vote for our leaders. 

Greek fathered modern philosophy & several famous mathematicians (though the Middle East were better versed in that regard.) 

Greeks also heavily influence modern theatre. And they invented the Olympics.