Sounds like we need a European software agency then. While these projects are technically independent of the EU, Ariane and the A400M are great examples of European collaboration.
We need the same for software: create a company/agency/institute, fund them appropriately (the A400M had a development cost of over 20 billions to give a ballpark figure) and ask them to produce an OS, a browser and an office suite. Make sure it's done with a product mindset, that they have ownership of it. Pay market rate for the employees. And within a decade we could have a credible alternative to Apple/Microsoft, then we can mandate the different EU administrations to switch to this software stack.
The biggest road block I can foresee is the infighting about how to "fairly" distribute the jobs. My worry is that instead of having a couple of locations that can each focus on a key aspect of the project, we would end up with 27 offices, with all the siloing that it entails. Which is literally one of Ariane's greatest weaknesses...
I'm sure a centrally planned initiative will beat the market and create a better product for you to use in Europe, just like Lada defeated Ford!