Had an amazing dinner at Café Comptoir Abel in Lyon which is (I believe) the oldest surviving bouchon in Lyon. People more in the know call it "inconsistent" but a local chef from Lyon said when his parents come back to Lyon it's where they eat which was good enough for me.
The Roman museum on top of the hill is a really good museum and the attached Roman ruins are worth visiting. The The basilica Notre-Dame of Fourvière which dominates the skyline - especially at night - is interesting and worth looking into. It was built much later than most cathedrals so it has a different aesthetic. If you feel like walk up - stairs warning - or more commonly down the hill and make sure you head through the rose garden path.
The museum of Beaux-Arts is "okay". It has a little of everything, the building itself is interesting and garden out front is nice - especially if it's warm - and you don't have to buy a ticket to enter the garden area. The civil area near the museum is worth lkking into for the squares, fountains and public art.
The Les Halles du Paul Bocuse has some of the finest food products in France and several small restaurants and eateries - markets close early so go by 1:00 or so.
Because the two rivers cut through Lyon there are effectively 4 riverbanks to explore. From my wandering the are roughly old town, shopping, civil area and modern life including walking/biking paths. Lyon also has a very strong history of street and public art so there many large sanctioned murals as well as many street arts murals and decorations which makes it in a really good walking town.
Have a great trip,
=Tod