First, wishing a very profitable company with a backlog worth hundreds of billions to go out of business is not capitalism. Second, EASA has fully embraced self certification through ODAs just like the FAA.
As for accidents, here is a very obvious one wher Airbus’s lack of control feedback was a major contributing factor: https://en.wikipedia.org/wiki/Air_France_Flight_447
First, the throttles didn’t follow the autothrottle setting, so we the aircraft switched to alternate flight laws the engines pulled back to idle, instead of staying in their last commanded position (uncommanded roll back is considered catastrophic in the US and thus not allowed). Then the side sticks are not linked, so the pilot didn’t know that co-pilot was commanding nose up attitude keeping the aircraft in a stall. The FARs have now been updated requiring control feedback, but airbus is still rolling planes off the assembly line with this known fatal flaw.
Also, a big reason people didn’t act right after the first 737 Max accident is because Lion Air has one of the worst safety records in the world, yet they are still flying.