List of commercial banks by country in Europe
I think i have answers for your question. 

In "thebanks.eu" you can find banks list by country and there is a filter so you can find commercial banks in Europe. 
https://thebanks.eu/banks-by-country

There is an other answer for your question; "stockopedia.com". This time you can find banks list and data. But there is no filter so you can not find only commercial banks and this service isn't free. 

https://www.stockopedia.com/sectors/banking-services-551010//