I've correct the few typos I saw
I'd recommend Aeschylus'
Oresteia as the only extant example of a complete tragic trilogy, Aristophanes' comedies (all eleven are good, but I'd recommend
Lysistrata, as it seems to be well-known and has been performed at a number of anti-war rallies,
Clouds, since it features Socrates, and
Wealth, because it is an example of Aristophanes' later work). I'd also recommend Menander's comedies (particularly
Dyscolos the only surviving complete example of New Comedy). Thucydides'
History of the Peloponnesian War and Herodotus'
Histories are good fun and great to contrast in style. For Homer, you'll also want to add the
Iliad, earlier than the
Odyssey and possibly also Martin West's
Greek Epic Fragments which will give people a much better sense of what we are missing from epic and which I didn't realise until now is freely available from the internet archive (
https://archive.org/details/L497GreekEpicFragmentsVIIVcBC). I'd recommend all of Sophocles' and Euripides' plays, especially Euripides'
Cyclops, the only complete example of satyr drama, Aristotle's
Poetics, and possibly Apollonius'
Argonautica, a later example of Greek epic.
I think that's all I can think of on the Greek side for now, but I shall check what I've got to see if there's anything else that is useful. In terms of Latin, you've got a good smattering of stuff there already. I'd be tempted to add in Catullus' poetry (on the whole very short) and also Horace in general really. Pliny the younger's
Epistles make for some interesting reading and I'd add some Senecan philosophy in there. On drama, perhaps Plautus' and Terence's comedies should be included (they're all decent works so I offer no particular suggestions) and also Seneca's tragedies.
General reading, the very short introduction series has good grounding of many of the topics of the ancient world and from there should provide useful bibliography. The Cambridge Companions are also worth perusing as well.
In terms of internet sources, the perseus digital library is a must to have on bookmarks (
http://www.perseus.tufts.edu/hopper/) as is poetry in translation (
http://www.poetryintranslation.com/index.html). The Loeb Classical Library is now fully online (subscription required -
http://www.loebclassics.com/) and the internet archive can be a great source of translations, though be aware that some may be old and therefore difficult to read compared to more modern translations.