I associated the one you've marked as Mystara with Eberron, because of its
many moons and
"orrery-style" cosmology.
And when I first looked at it, I thought maybe Dragonlance because of the 3 circles that look like they could be the three moons of magic.
The reason I think that one is Mystara is that it has two axis. One from the time of Blackmoor and then the axial tilt after the Blackmoorian explosion that shifted the world. The two opening are the entries into the Hollow World and the 'inner planet' is actually the 'interior star' of the Hollow World.
I'm definitely thinking the one marked as Greyhawk or Nerath is for Eberron. This means it appears 3rd during the video, which makes sense if the 'sigils' are appearing in order of prominence for the settings (FR and Ravenloft are one, two, and Eberron is third). I had originally thought it was meant to represent the Outlands and Sigil but not I'm fairly certain that that central spire is meant to be Sharn.
That would mean that the one I listed as Eberron is likely Greyhawk. The four planets represent the four axis of alignment and the triangles might represent the Inner Planes. I dunno. I'm just guessing.
The central sigil has to be Planescape and/or Spelljammer. The three lines represent the Rule of Three and the single line where they meet is the Spire of the Outlands. The line that crosses them might refer to the Outlands or the Outer Planes, in general, or perhaps it is the Astral Sea.
The Dark Sun one is obvious.
I think the one i marked as Dragonlance is meant to be a banner, as someone already noted. However, I originally saw it as a stylized spelljamming Mind Flayer nautiloid or perhaps the Spelljammer itself. But I think the flowing banner is more likely.
And I now think the second one is definitely Ravenloft. It's a stylized version of the part of the
classic Ravenloft logo that points down. It doesn't seem very Birthright to me. If so, that means Birthright is left out in the cold.