Theseus, no offence at all. I didn't even think you sounded harsh. In fact I was thinking I might have overdone it a bit.
As for reading literature, don't forget that most Greek students of my age studied modern Greek literature through anthologies, not whole books. That way you get an idea of what you like and might decide to take it further.
Anyway, if you want recommendations, on my Kindle I have the following:
Κοσμάς Πολίτης, Eroica & Λεμονοδάσος
Κωνσταντίνος Θεοτόκης, Η τιμή και το χρήμα
Α. Παπαδιαμάντης, Η φόνισσα
Καρκαβίτσας, Ο ζητιανος
They were all downloaded for free, although I am not sure where from, and they are all short novels (no patience any more). I would recommend the first two for a learner.