The Infineon Smart Power Fab was opened some months ago and builds power ICs for the energy market. Probably something like ACDC and DCAC converter ICs. This is also needed in AI data centers. https://www.infineon.com/de/regional/dresden/smart-power-fab
European Semiconductor Manufacturing Company (ESMC), the TSMC fab in Dresden is still under construction and will produce logic chips in 28nm or 16nm. Bosch, Infineon, and NXP each have 10% share in this fab. I assume that it will mostly produce products which will be sold by these 3 companies, probably just the next generations from what they already sell. This fab was 50% subsidized by the German government.
GlobalFoundries also has a big 20nm Fab in Dresden.
The most advanced logic fab in the EU is the Intel fab in Ireland.
[ Intel has yet to prove that it can sustain itself as a foundry for third parties, and until they do, I have a hard time believing the massive culture shift required across the whole company can be achieved without splitting the company up into separate parts. Samsung has fallen behind, but at least they have diversity across a variety of markets including HBM. Neither have leading edge fabs in Europe, so everything continues falls back on TSMC. ]
It was pretty clear that this fab - much like the other Bosch facilities - is going to be for automotive and industry ICs, not for high end node sizes in CPUs or GPUs.