It is a Lacewing. Completely harmless. It comes around the light at night and then dies soon after.
Might be a lacewing, but here is an image search for green flying bugs.
https://www.google.com/search?q=green+bu...
http://www.extension.umn.edu/garden/inse...
Noticed hundreds of them flying into the front door at night. They're attracted to the light. They're dead by morning. What are they called? They're not Aphids.
