Hebrew Bible Audio Tracks
While pronunciation of a dead language will always be artificial, I still believe that there is great value in reading the Hebrew Bible aloud and being able to comprehend it aurally. I haven’t really spent time reading the literature on dead languages and second language acquisition, but it at least “feels” to me that using the biblical languages as languages helps me to move from a mathematical, paradigm + lexicon approach towards (limited) competency. And, as a bonus, you won’t look like an idiot at SBL when you pronounce a sin as shin! To that end, here is a site with mp3 tracks of the entire Hebrew Bible.
Also, there are some native Aramaic speakers still around. Try your hand at the SemArch audio archive to get a feel for the ways dialects change.