Be cautious with banks having crazy transaction fees for generic stock. Most of them have own funds and you can purchase them for low fees, while the rest can be even at 15 EUR per single transaction.

That's exactly what I noticed with my bank. They have high fees for investing and for withdrawing. And that's an issue for me since I would only invest a few thousand dollars every month whenever I get my salary paid... Perhaps I should compare the fees of all the local banks next.

Banks often have high fees for investing/stock related actions.

Depending on what European country you are in you could also have a look at brokers/online banks, these usually have more sane fees.

In central Europe flatex would be an example of such a broker. Though I am not sure in which countries these are available.

Don't waste your time on banks. Just use a known and trusted investment platform.