A spectacular thing to do in Chamonix is take the two cable cars that get you up to the Aiguille du Midi. The altitude is 3,842 m which means you get a pretty fine view of the mountains.
Oh, and there is a third cable car. It leaves from the Aiguille and crosses a glacier on its way to Italy. This segment is more weather sensitive. It was closed on my previous visit but luck was with me today and I made it to Italy.