all Greek liturgical texts can be found in this sitehttp://analogion.gr/glt/
including liturgies, and several cases allows you to hear the written part.
The text are found at the end of the list as:
Χρυσοστόμου Καθ' ημέραν
Χρυσοστόμου Κυριακή μετά Διακόνου
Βασιλείου - Προηγιασμένη
Now that there is YouTube, not only you can hear it, but you can also see it.
The oldest one is the Liturgy of st. James Ἰακώβου τοῦ ἀδελφοθέου who was the first bishop of Jerusalem.
in a complete form in three parts from the city of Patrae
and from Verroiahttp://www.youtube.com/watch?v=P40IMbEvZRE&feature=related
This is performed only once a year.
The Liturgy of st. Basil as it was performed on Great Thursday, which is the second before the last of the year, http://www.youtube.com/watch?v=FRSTWrdQSvg
On Great Thursday every ten years in Constantinople is performed the sanctification of the Holy Myrrhhttp://www.youtube.com/watch?v=rYrG475K3uI&feature=related
and this one is from the 2012 sanctification.
Also within a Liturgy ordinations are performed, and here is the ordination of the Metropolitan of Bursa or Proussa.http://www.youtube.com/watch?v=KCToXNlb368&feature=related
During the period of Lend and Holy Week except Sundays the Liturgy of pre-sanctified Gifts is performed.http://www.youtube.com/watch?v=Qvwr4tKEsAY
This liturgy contains most of biblical readings than all the others, that they change every time, in that way each day of its performance has different readings.
Searching the youtube in Greek you can find many, I just gave you here few as an example.
I hope all that may be helpful.