I want to research Greek Mythology, what book should I start with?

You can start with the epics, like Iliad (make sure you get a good translation of it)

A book that I am addicted to is Mythology by Edith Hamilton. It has hundreds of stories of the Gods and mortals. It is amazing. She even has comprehensive pedigrees (family trees) of all the royal houses, Gods, etc. It's also an easy read.

I truly recommend this one.

You might want to get your bearings with something like Bullfinch's Mythology or Edith Hamilton's book or some other collection of the basic myths, darling. That way, you'll have some background information before you start on the Iliad...otherwise, you'll be forced to look up every reference (and there are many), and you might miss some subtle allusions in the Iliad.

(((keithZworld)))

the Iliad is the first of three books.1. the Iliad. 2.the Odyssey.3. the Aeneid. but it is also the hardest too.

I agree you should start with Hamilton. She gives you a basic understanding of who the major gods and goddesses are and their best-known attributes. From there you can go to basically whatever you like, but if you really get into it you'll probably want to read some things like Graves' books on Greek mythology. He goes in depth into the possible and probable origins of the myths. It's stuff you'd never think of reading something like Hamilton. We generally have this ideal of a never-changing Greek pantheon when in reality all of that had its roots in prehistory, some of it of the hair-raising variety, and even in classical Greece any particular god or goddess might be venerated for a particular attribute in one city and for something entirely different and by our standards entirely weird somewhere else; both the Greeks and the Romans were great syncretists, i.e., tended to combine different gods into one to reconcile their religious beliefs with those of other peoples. They did that throughout their history and prehistory, so some of the gods that are well-known to us in one guise may have had some characteristics in some locales even in Greece itself that would seem strange to us today.

Hamilton and Bulfinch are good

but

Hesiod's Theogeny and Ovid's Metamorphoses would give you two of the original works

Google "greek mythology" and you will get a plethora of sites