drive

Travelling from Brig to Lyon (about 360km/225 miles, minimum 4 hours driving with no stops, roadworks or traffic congestion) you have plenty of choice even if you exclude the numerous beautiful landscapes & viewpoints, the beaches of Lake Geneva......and several theme/'amusement' parks.
Examples on your route in travelling order from Brig:
1. Château de Tourbillon (ruined Medieval castle) near Sion
2. The beautiful Medieval Château de Chillon between Villeneuve and Veytaux: 
https://www.chillon.ch/en/
3. Chaplin's World (a museum dedicated to Charlie Chaplin, his life & work in the Chaplin family's Swiss home) in Corsier-sur-Vevey https://www.chaplinsworld.com/en
4. The AQUATIS Aquarium-Vivarium near Lausanne  https://www.aquatis.ch/en/
5. Or the art galleries, museums and old town of Lausanne itself. Official tourist info site in English:
https://www.lausanne-tourisme.ch/en/visit/24-hours-in-lausanne/
6. The alpin de Meyrin Botanical Garden in Meyrin: https://www.meyrin.ch/fr/jbam
7. The historical sites & sights, museums and galleries of Geneva . Official tourist info site in English: https://www.geneve.com/
8. The Glacières de Sylans, the remains of a huge late-1800s ice-cream factory, including its massive ice-houses. https://www.hautbugey-tourisme.com/decouvrir/le-patrimoine/glacieres-de-sylans/
Enjoy your trip! :-)