There is a potential to get splashed on all of the rides listed below I will be sure to reveal how and what to watch out for. Rides with a * indicate that you are going to get wet. I may have missed some effects on rides or shows either because I myself have not experienced them or forgot so hopefully someone can fill in those blanks.
MK - Casey Jr Splash n Soak*, Jungle Cruise (Bathing Elephants also could get splashed by the back side of water), Pirates of the Caribbean (May get a little splashed going down the flume or by the canon explosions), Splash Mountain*, The Magic Carpets (Spitting Camels on and outside of the ride)
Epcot - Fountain of Nations (could get sprinkled during a show), Frozen Ever After (could get splashed on the two flumes), Jumping Fountains outside of Imagination (I've noticed soaked kids while exiting the Magic Eye Theater), Outpost (don't play with the shipping containers next to the CS restaurant I walked away with a soaked leg)
DHS - Fantasmic (if you sit close to the lake expect to get misted or even wet due to the water fountains used for projections), Muppet Vision 3-D (Fozzie squirts the audience with a flower in his lapel)
DAK - It's Tough to be a Bug (squirted with "acid" by a termite), Kali River Rapids*
~Edit~
DS - World of Disney (Stitch squirts a watergun from above one of the store entrances)