Is there a Koine word that you would like to explore? Bill Mounce's Greek dictionary (here) makes it easy. Once you click on the word you're interested in, scroll down, and there's a listing of each use of that word in the NT along with an English translation of the sentence in which it occurs. If you want to see the fuller Greek context of your word, you can check it out here.
Try to see if there are clusters of meaning for your word, positive or negative connotations, or other patterns. You might want to think of a near synonym of that word, too, and see how its usage differs, so that you can get a finer sense of the nuances of each word and why they're different.
