Very enjoyable. I laughed very hard. Anyway, just some nitpicks.

<snip>

    Being the sort of person who only really sees what he wants to
see, he managed to not really read anything but four words--
Bringing, Ranma, From, and China.  Happily he went to call his three
daughters together, and make his grand announcement.  Strangely, (at
least to him) they didn't really seem very pleased, but he managed to
ignore that as well.  He had a positive talent for it.  The only one
with any enthusiasm for the matter was Nabiki, who when the door-bell
rang, went to get it, assuming that the young man was there.

door-bell can be written as doorbell.

<snip>

    "I'm not ranma lemme go can't breathe," wheezed the boy with
glasses.

Maybe you can cut out 'with glasses', as it's apparent that the boy with 
glasses is speaking, being the only boy in the scene.

<snip>

    To Soun's surprise, the two other teens bowed to the redhead, as
did the apparent monkey-- which he now realized was not a monkey but
an impossibly elderly woman.  The panda didn't bow, until the elderly
woman smashed it in the back of it's head with her stick.

back of its head

<snip>

    The violet-tressed girl, who was named Shampoo looked a bit
nervous.  "Um.  She Ranma Saotome," she replied, pointing at the
red-haired girl.

who was named Shampoo, looked

<snip>

    The Warmistress and the Healer started to glare daggers-- or
rather, broadswords, considering the intensity, when Prell, the
Lorekeeper interrupted.  "There's some other parts of the Prophecy
that must be addressed.  The Queen comes from the Rising Sun.  She
doesn't look like she could live on the surface of--"

Would War-Mistress be more suitable? I was reading it as Warm-istress first 
time through.

<snip>

    Before anyone could say anything-- and Kasumi and Nabiki were
about to, they were stopped by Ranma's incredulous roar of, "My
WHAT?"

and as Kasumi and Nabiki

<snip>

    The air about Soun Tendo seemed to waver a bit, and then exploded
into a grotesque, monstrous, even demoniacal grotesquerie.  To which
Ranma reacted with great nervousness, Mousse gasped in horror and
leapt into Shampoo's arms--  who was petrified for a moment, and then
dropped Mousse, Genma sighed, and Cologne merely stared with
facination.

fascination

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