At the time I went there, at least, UTCS at Austin wasn't accredited, although it was one of the top CS departments in the country. The general consensus was that accreditation was such a low bar it wasn't worth pursuing and that it would put requirements in place that would limit future flexibility. We were leading, not following, dammit!

On the other hand, accreditation is a pretty low bar and many of the courses that are not have, like this list, overwhelmingly massive chasms of missing fundamentals along with a heavy focus on things that are "trendy" and "relevant" and will thus be completely useless next year.