Erika Lisa Horiuchi
Google
This might be one of the best modern museums I went to, really! It's very complete and I think kids would love it- there were a lot of enthusiastic ones when we went, at least.
Their permanent expositions are very well detailed and easy to navigate, they're mostly about natural history, anthropology and culture, not much art history, or at least I didn't find one. Everything has french and english explications. On the entrance to each permanent exposition, there was a guide who would give a general feel of the pieces, and they could speak English too!
Their temporary expositions were interesting and very well done, we went to the Amazon and the dreams ones, both very interesting. We didn't have to pay extra for these.
They had elevators for all stages, and there were a lot of audio explanations too.
On the terrace there was a lovely - albeit a bit expensive - cafe, with nice views. If you're not hungry, the terrace is included on the ticket price anyway, so you should go at least for the view.
A must see in Lyon, for sure!