The POTC ship wreck and the HM storm scene are the same style. (same effect is done on your way up on the matterhorn too) but the tiki room is different.
POTC, HM, and Matterhorn are done via projection using a couple ways. When the rides opened they were created by using drum (coffee can) with tons of tiny holes in it spinning around a light. But recently it's been changed to a projector projecting rain falling with a black background. They are starting to use more projectors in every thing they do...
The tiki room is different. It's an even older effect that has been used in stage productions for quite a while. picture thin ribbin size pieces of silver, well... ribbin, streched loosly from top to bottom behind a window. then put a dim white light (flouresent works best) below the ribbin and blow a slight breeze at it. add some random flashes of light and you got a storm. now all you need is a good soundtrack.
they used to add real water to fall down the window back in the day...
bamboo curtin (so the image isn't completly visable)
window (glass and frame)
light and wind (flouresent light lit from below and fan for slight breeze)
Strobe light (blinking randomly)
silver strips of ribbin (running top to bottom)
why, are you trying to create a storm for something?
^Yup, that sums it pretty much up. I was curious myself at how the Tiki Room 'rain' effect was done, so when I went to the Disneyland Resort in December of last year, I took a glance at it, and he is absolutely right; there are like these very cool looking silver ribbons behind the windows and bamboo. I presume that they vibrate and such during the storm to achieve the wanted effect.
As for PotC and HM, probably what has been mentioned above, just simple fog effects.
Try it when there's a REAL thunderstorm going on outside!
When it gets interesting is when it's REALLY raining outside. People go to the Tiki Room to get out of the rain....although the waiting area doesn't really provide enough cover 'cept for that little bathroom area...which everyone tries to crowd around....
Anyway, during one major downpour, and you are inside, and all of the sudden you truly don't know what is special effects, and what is coming from the foul weather outside.
lol the hurricane scene in pirates is really underwhelming. when i did my walkthru (about a week before the attraction closed), i walked around that area and thought to myself, "this is it?" -- there's not much to it. walls painted black, with some splattered paint and some painted on lightning bolts.
but hey, if it's convincing, you can't fault them for it (and it is convincing... from the boats!)