I would assume Soarin is okay.
Yes. The only warnings for Soarin are for heights and possibly motion sickness.
What about Tower of Terror?
Tower of Terror does have a warning. During the course of the ride, you are dropped a number of times in an "out of control elevator." Of course, it is totally in control, but you do fall faster than just gravity and then your elevator is janked back up. This happens a number of times - how many is determined randomly by computer. It can be rough, jarring and may not be safe for someone with a heart condition.
You can look at the park maps for the attractions with warnings - they are marked with a red triangle on the map and also on a sign at the entrance to the queue.
The 'general' warning is worded this way:
WARNING: For safety, you should be in good health and free from high blood pressure, heart, back and/or neck problems that could be aggrevated by this attraction. Expectant mothers should not ride.
Whether that means you should not ride will probably depend on your specific condition and what your doctor recommends.
For
Epcot here are the attractions with warnings:
- Mission Space: There is a more tame (green side) and the more wild (orange side). Both sides can bump you around, but the Orange side also includes a spinning motion that gives a lot of G forces. The Orange side definately has a warning and actually a child who had an undiagnosed congenital heart condition died after riding the Orange side. It is not totally clear whether the Green side has the same warning.
- Test Track
For
Magic Kingdom:
- Splash Mountain
- Big Thunder Mountain Railroad
- Tomorrowland Indy Speedway
- Space Mountain
- Goofy's Barnstormer (this doesn't have a triangle warning sign on the map, but does say that pregnant women should not ride, so it's not totally tame. It is a roller coaster, although a small one.)
For
Disney Studio
- Star Tours
- Rock N Roller Coaster
- Tower of Terror
For
Animal Kingdom:
- Kilimanjaro Safari
- Kali River Rapids
- Expedition Everest
- Primeval Whirl
- Dinosaur
The Safari and Kali River Rapids are listed because you can get unexpected hard bumps and drops during the course of the ride. Many people suggest that the Safari is less bumpy closer to the front, but it is still as bumpy as when we have sat farther back. We sit in the front seat because youngest DD needs to stay in her wheelchair; we still get bounced around a lot. It all depends on which ruts your ride car hits.
Splash Mountain has a big drop that takes you down at a very extreme angle at a high rate of speed (I think you get to 40 mph). At the bottom, your ride car stops abruptly.
For rides like Dinosaur, Star Tours, Test Track, Big Thunder Mountain you are not moving that fast, but experience sudden changes of direction that jerk you around a lot.