Only safari (webkit} shells. There's been rumors of apple preparing to open up that requirement for appstore approval, but hasn't happened yet as far as I know.
Honestly that, and not being able to side load, are the only things holding me from switching. Yes I could get a pixel and install graphene OS on it, but I don't have time for that anymore and I just want a simple solution that gets support out of the box, and allows me to run the apps I want.