Both my wife (a native speaker of Scottish Gaelic) and I (native speaker of English, fluent in German and Gaelic too, currently learning a tonal language, Mandarin Chinese) thought that Daitz' voice was too forced.
This sounded much easier on the ear:http://www.oeaw.ac.at/kal/agp/
Here's another interesting one, but it seems to omit the use of tones for stress:http://www.youtube.com/watch?v=lUYWSY0yCmk
To go in the other direction, this is ostensibly Attic Greek, but is instantly recognisable as pronunciation from speakers of US English:http://ucbclassics.dreamhosters.com/anc ... lphaU.html
There has been some work done using the other clues to pronunciation, the musical settings (including the choice of instrument), which help to determine the parameters of pronunciation:http://www.oeaw.ac.at/kal/sh/
To me, this sounds the most convincing recording that I've tracked down so far. (It reminds me to some extent of the chants/songs from the Ulster and Fenian lays, which tend to be in very archaic language, often including "runs" that seem to represent older, ossified forms of language - just as in Homer.)
Well done to Daitz for trying to produce something, but can perhaps a speaker of modern Greek used to tonal languages offer a superior version, based on the philology that has been done?
It's very frustrating that no convincing attempt seems to have been made available online, although there is surely sufficient information available to indicate the major part of how Homer was pronounced. (Despite changes in normal pronunciation, recitations still took place over a long period; perhaps some modernisation towards Attic Greek was usual in most productions in the past.)
Here's a comment from a German-language broadcaster on the solution to pronouncing Homer: "Homer müsste man eigentlich singen: Jeder Hexameter hat seinen eigenen Melodiebogen, der auf dem musikalischen Akzent der einzelnen Wörter aufbaut." ("Homer really has to be sung: each hexameter has its own musical phrase which is based on the tones of individual words.")
In the end, it seems that despite the way classicists have embraced the internet, there is not enough confidence to propose a range of solutions for those, like myself and the OP, that would like to learn Homeric Greek with a fair degree of certitude that people pronounced it roughly in the way we are rendering it.