Petit séminaire de Consolation
Monastery located in Doubs, in France.
Each edition grades its towns against each other only.

The best-known day out from Vennes is Citadelle de Besançon, 40 km away. No place to visit is mapped in Vennes; 2 are within 5 km of its centre. They include a monastery and a museum.
Behind Petit séminaire de Consolation on the list is a museum.
Best known first: by how many Wikipedia and sister-site articles cover each place (Wikidata’s count). It isn’t a ranking of how good they are.
Out at 4.4 km is Petit séminaire de Consolation, the farthest.
The first 20 on the list, numbered as below. The shape is the commune of Vennes; the orange dot is its centre. © OpenStreetMap contributors · commune boundary: IGN
It comes down to a monastery and a museum.
Dark: in Vennes. Light: in the communes within 5 km of its centre.
Everything here is within 5 km of its centre, 2 places in all.
Monastery located in Doubs, in France.
Nothing is mapped in Vennes itself; these are within 5 km of its centre.
Head 40 km out for Citadelle de Besançon, the best known of 9.
ChâteauCitadelle de Besançon40 km west, in BesançonMuseumMuseumFort de Joux34 km southwest, in La Cluse-et-Mijoux
MuseumMusée Courbet31 km west, in OrnansFortFortPorte taillée39 km west, in BesançonChâteauChâteauChâteau de la Juive38 km west, in ChalezeuleMuseumMuseumAbbaye Sainte-Odile26 km northwest, in Baume-les-DamesChâteauChâteauChâteau de Cléron38 km west, in CléronChâteauChâteauFort de Bregille39 km west, in BesançonFortFortFort de Beauregard40 km west, in BesançonPlaces within 40 km of Vennes with an article in both French and English Wikipedia, nearest first.
Nothing is mapped in Vennes itself, but within 5 km there are Petit séminaire de Consolation and Ferme-musée du Montagnon.
One, in town or within 5 km: Ferme-musée du Montagnon.
The nearest with articles in both French and English Wikipedia: Citadelle de Besançon (40 km), Fort de Joux (34 km), Musée Courbet (31 km), Porte taillée (39 km).
From OpenStreetMap and Wikidata: named museums, galleries, châteaux, abbeys, gardens, zoos, theme parks and other visitor attractions whose mapped point lies inside the commune of Vennes, then those in the communes within 5 km of its centre, and well-known places within 40 km. Houses, ruins and gardens need a sign they’re open to visitors; places marked private, closed or disused are left out. The historic-monument link is the Culture ministry’s Mérimée record. A place that isn’t mapped isn’t listed, so this isn’t everything there is to see.
Sources: OpenStreetMap (© OpenStreetMap contributors, ODbL), Wikidata (CC0: descriptions, websites, Wikipedia articles), the Culture ministry’s Mérimée database (Licence Ouverte 2.0), IGN commune boundaries. Distances are from the commune’s centre point.
Photos from Wikimedia Commons, each under its own licence (our copy, resized).
Contains public sector information under the Licence Ouverte / Open Licence 2.0 (Etalab): INSEE, DGFiP, the Interior Ministry’s statistics service (SSMSI), the Ministry of Education (DEPP), the Health Ministry’s statistics service (DREES) and the Housing Ministry (Carte des loyers). Commune boundaries: IGN Admin Express.