I don't have a list, and I'm not seeing this as a competition. If you want to see where the GII data comes from I'm sure it's on their website.

No, you gave a list consisting of: one huge government agency (there's ESA, and pretty much every EU nation has some king of space exploration agency), one giant hardware corporation which made tons of money doing incremental improvement on others' inventions, a giant software company milking a single innovation to build an effective monopoly, and a private space research company.

It's a vast difference between "technology innovator" and "a successful international corporation built on technology innovations", and Europe has a ton of the former. For every Tesla there's a Rimac Automobili, for every SpaceX there's a Hipersfera -- and that's just from a small country on the edge of EU. I'm sure others could come up with better results from elsewhere.