This is only because figure A would have Hypersonic Speed AND Flying....

Therefore, he would be able to move through squares adjacent to opposing characters (as per ypersonic Speed) and
may move through opposing characters (as per Hovering).

Flying figures move through other figures much easier than grounded figures. Because the rules tell you that:

From the Rule:

So just so we're clear, a plain ol' hovering fig may move through opposing ones, but still must stop when adjacent. However, if the figure also has Phasing or HSS, they may ignore the enemy completely and keep going.

Or to put it another way: If a grounded figure is adjacent to an enemy and breaks away, he cannot move directly through them, only around them; but if a flyer breaks away he may move straight through them.

Is that right?

Yes, and that is ordinarily the only time a flier would be able to move through an opposing figure.

Heroclix1234,
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A hovering character may move through opposing characters and blocking terrain.
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How can hovering characters (other than those with phasing)move through blocking terrain? Assuming we're talking about an indoor map with a doorway and all...

It's specifically not referring to the indoor maps, though that's not really apparent until later. It's much more a reference to outdoor Barrier squares and the like.

this problem comes up alot can a person with HSS orL&C move through a doorway if it is being blocked by an opponent by moveing on the diagnal squares?

Figure A (with either Hypersonic Speed, Leap/Climb or Phasing) would still be able to get through the doorway in any of these situations....

Does this answer? Or more?