Hi:
This is sort of a fun project. I had to do something similar when I was in high school many years ago - I still think about it. It is pretty amazing how many references there are.
Chore Boy Golden Fleece scouring cloths (I found a lot of references to the Golden Fleece)
Argus cameras (from Argus the creature with 100 eyes)
Olympus cameras
Ceres - the goddess of the harvest, is the root term of cereal. A named asteriod too.
One of the stories from the King James version of the Bible about the 2 angels visiting Lot and his family in Sodom - if I remember correctly, there was a very similar story where Zeus and Hermes took the guises of travellers and visited a small family who were very kind to them, and unaware of their true identities - there seems to be a lot of similar Christian associations with the thought of 'angel unaware'.
It seems like there is a lot of belief that a creative person is visited by a muse (or angel) who inspires them to do great work. A fairly recent movie with that theme was "The Muse". The movie "Dogma" also had an angel/muse character played by Salma Hayek.
Mnemonic - is a term derived from the Titan goddess Mnemosyne the goddess of memory, and the mother of the nine muses.
Arachne - the weaver who challenged Athena in a weaving contest, and was transformed into a monster that was half-woman half-spider. This term is the root of the taxonomical class of Arachnida, the term for spiders, and there are a lot of references to monsters in sci-fi/fantasy type work that are half-human half-spider.
Almost all of the women that were seduced by Zeus in some form can probably be traced to something current - check out Leto, Danae, Europa. Gustav Klimt created a beautiful rendition of Danae as a subject in one of his paintings.
Some sayings:
sops for Cereberus (don't hear that too often)
There are many examples of allegorical paintings from history where the subject is from Greek mythology.
Well, this could probably take me all day. Have fun with this, and I hope these help and give you more ideas.