The following links were taken from GenealogyInTime. GenealogyInTime also posts links to genealogy record collections from all over the world that have been recently digitized.
Here are few free European websites that GenealogyInTime included in its 100 Best Websites of 2014 list.
Dansk Demografisk Database: Includes Danish census records from 1787-1930, emigration records, probate, church records, and more.
GeneaNet: The largest French genealogy database that includes links to online municipal archives and information to help you get started with French research.
Ahnenforschung: Contains databases, digital archives, dictionaries, and forums related to German genealogy.
Irish Genealogy: Online resources, church records, and Irish research tips hosted by the Irish Department of Arts, Heritage and Gaeltacht.
Wie Was Wie: This database includes vital records, population registers, Dutch family trees, and more.
Arkivverket Digitalarkivet: Digital archive that includes census records, parish registers, property and legal records and much more.
DIS-Norway, Slekt og Data: Norway's largest genealogy organization whose site contains forums, helpful links, and digital projects.
GENUKI: Online gazetteer, parish maps, and many useful links for UK research.
RootsChat: The UK's largest family history forum.
FreeBMD: Search transcriptions of the Civil Registration Index of births, marriages and deaths for England and Wales.
Several of these sites are in the language of the host county. Google Translate can translate whole webpages into English for you if you need help.