Answer:
There are many major stock markets across the continent of Europe. Here is a list of some major ones with opening times (based on local time).
London Stock Exchange: Normal trading sessions are from 08:00 to 16:30
Euronext (Amsterdam): Hours of operation on non-holidays are 9:00-17:30 CET.
Frankfurt Stock Exchange: Automatic Xetra trading runs from 09:00 to 17:30 with closing auction from 17:30-17:35
For a full list of all market opening times, see the related link.