There are no US or European drones that really come close, unfortunately. Parrot are 2-3+ generations behind DJI in terms of capability: wireless link, camera, and even basic flight stability are all quite a distance behind. Skydio had unique autonomy capabilities which were really cool but were a long way behind in controller capability, camera, and wireless tech and exited the consumer market.
Honestly, DJI no-fly zones in the US are not too onerous in my opinion - most of the places that are banned probably should be banned. I would recommend a DJI drone with a standalone remote (to avoid needing to install DJI apps on your phone). However, generally speaking in Europe their no fly zones are more restrictive and can be quite frustrating.