I managed to find a lot of stats about cycling in Europe, however, not what I was looking for.

I need an open dataset with the total length of the cycling routes in each European City (or at least some of them)

For example,

City, TotalLength
London, 84km
Berlin, 72km
Paris, 34km

You can try to get data from OpenStreetMap: the https://www.openstreetmap.org

Data can be downloaded per country or region on GeoFabrik.de: https://www.geofabrik.de/

There is even a nice python package called OSMNX to deal with road network (including bike ways where available): https://osmnx.readthedocs.io/en/stable/ You can select road with their OSM attributes and within certain specific area using selections. More information on the doc.

There is as well the overpass API: https://wiki.openstreetmap.org/wiki/Overpass_API
which you may give a try on overpass-turbo: https://overpass-turbo.eu/

There still be some learning curve for these tools, so feel free to experiment and read documentations about them.

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