As far as non-thrill rides with effects that might be problematic, this is by no means a complete list, but my GF has some motion/sensory issues and was bothered by the following things that are far from "thrilling" in the purely movement sense. We expected problems on rides that are supposed to move, so I am not including those, but these are the ones that surprised us:
Buzz Lightyear (MK): there is one section with a Planetarium-sized moving starfield that surrounds you. If you close your eyes though, its over quickly. BUT, the lights throughout this ride flash and can be disorienting.
Seas with Nemo Clam ride (Epcot): as with Buzz, there is one section with a surrounding moving bubble field. Its not strobbing, but it makes you feel like you are spinning even when you aren't. Again, 30 seconds of closing your eyes though and this is easily avoidable, since the rest of this ride was fine.
Any/all of the 360 or 3D movies. They don't strobe, but they are designed to give you a sense of motion, so can be queasy inducing. The 3D projections are also hard on the eyes in forcing a different type of focusing. I know that this isn't exactly what you asked about, but since odd things can trigger migraines, I figured it wouldn't hurt either to be prepared. The good thing about all the movies is that, since there is no actual motion, closing your eyes through them is easy. It takes away a lot of the fun, of course, so if, after the first one, you find that these aren't a big hit, it might be worth splitting up for others (or they could all be totally harmless for you guys).
Hope that helps somewhat. Good luck and have a great time!