The Knowledge and Power in the Neo-Assyrian Empire site is a great resource for introductory material in Assyriology. Besides transliterations and translations of Neo-Assyrian texts, there are good introductions to related subjects as well.
They have just added an excellent introduction to all things cuneiform, Cuneiform Revealed, including a very helpful intro to the Akkadian language and even practice texts to read. The site is aimed at undergraduates and seems to be very accessible to the lay person (at least one having some familiarity with Semitic languages). I wish it was around when I was beginning Akkadian!