I watched Rebirth in its entirety today. The animation for the human characters is pretty downright atrocious, but overall, putting that element aside, I found myself liking this show a whole lot more than I expected to. The overall story ended up really clicking for me, especially by the midpoint of the series, and the new takes on all of the kaiju rocked.
I'd say that Rebirth is is way better than the Godzilla anime movie trilogy, though not as good as Singular Point.