Some readers that I have used or come across. For the readers that I really like, I’ve either purchased a copy, or had one bound at lulu.com (only a few dollars), rather than reading them online.
Greek Boy At Home by W.H.D. Rouse
Text: https://archive.org/details/greekboyathomest01rousuoft
Vocabulary: http://www.johnpiazza.net/greek_boy_vocab
The Greek is good and idiomatic. Parodies from very diverse sources (the Onomasticon, Philogelos, and many more common sources). The story is the best told of anything here, partly because Rouse is communicating his philosophy about learning and childhood as much as teaching the language. [See his essay “Body, Soul, and Spirit” for a direct formulation.] The stories are graduated, but it remains extremely hard to use for self-study. Lightly Atticized, but like Farnell, he does not shield the reader too much from non-Attic vocabulary. Probably my favorite reader.
A Greek Reader by W. H. D. Rouse
https://archive.org/details/greekreader00rousuoft
Lightly Atticized selections from the Greek classics. These are fun, but there is no help in the way of notes or vocabulary, making it a challenge for self-study.
Stories and Legends by F. H. Colson
https://archive.org/details/storiesandlegen00colsgoog
Highly Atticized stories and parodies, similar to Morice, but the content and spirit is Greek. Very easy to read with the included notes and vocabulary. Highly recommended.
A First Greek Reader by Charles M. Moss
https://archive.org/details/afirstgreekread00mossgoog
I haven’t read this one yet. I would love to hear other people’s reviews.
Tales from Herodotus with Attic dialectical forms by G. S. Farnell
https://archive.org/details/talesfromherodot00herorich
Very well done. He doesn’t try to change Herodotus too much. Presents notes and vocabulary just like Morice or Colson, making this very readable. And Herodotus makes it fun.
Thrasymachus by C. W. E. Peckett
http://www.amazon.com/Thrasymachus-Greek-Through-Reading-Language/dp/0862921392/
Extremely well done. Peckett was a student of Rouse, and Thrasymachus is a combination of graduated reader together with a Greek course. The stories are not as good as Rouse, but are much more graduated. Less re-reading value there, but the presentation of accidence and syntax is extremely well done. In fact, the appendix is probably my favorite discussion of Greek syntax, nicely illustrated with example sentences (what a concept!). If I could add anything to this great text, it would be to mark vowel length, especially in the grammar tables.
Stories in Attic Greek by F.D. Morice
https://archive.org/details/storiesinatticg00unkngoog
Wonderful set of Attic stories across a number of subjects. All interesting, but more Victorian in spirit than Greek. Very useful for expanding your vocabulary.