Hi, welcome to the forums!
If you're looking for attractions that are less intense, I would suggest rides like Despicable Me: Minion Mayhem and The Simpsons Ride, which are both relatively tame simulators. There are also family friendly rides like Silly Swirly, which is essentially the equivalent to Dumbo the Flying Elephant at DLR, and Flight of the Hippogriff, which is a mild family coaster similar to Gadget's Go Coaster (also at DLR). I would try to avoid attractions like Revenge of the Mummy, Harry Potter and the Forbidden Journey, and possibly Transformers: The Ride - 3D. The former is a fairly intense indoor coaster involving sudden stops and backward movement, while the two latter attractions are the more intense simulators in the park. Jurassic Park: The Ride is something I'd look into more because, while being pretty calm for the most part, it concludes in an 84-ft drop. The drop is far more intense than what's found on Pirates of the Caribbean, so I would skip out on this one just to stay safe.
Aside from that, you can also experience The Walking Dead Attraction if you aren't opposed to something on the scarier side. You'll be able to stay in your wheelchair for the duration of the attraction, but keep in mind that you'll be in close quarters with scare actors while going through the walkthrough.
Hope this helps!