Thanks for the suggestion. However, none of the tips helped for my case.
What helped was:
- Insert SD card. Alcor Micro.. device appears under USB Controllers in device manager.
- Disable the device
- Remove SD card. Device dissappears.
- Insert card again. Device reappears.
- Enable the device. Windows recognizes the card and shows it as a drive.
If card is removed and insert again, process starts at step 1 again.
Works with one of the 2 cards I have, so atm I'll assume other one is broken, until I can check it somewhere.
Obviously, this is pain in the ass solution, but at least it works for now.