Continuous Variable Transmission for Modern Micro Cars?

Personally, I think the CVT - continuous variable transmission -  is cool. They give the economy of the manual transmission while giving the convenience of the automatic transmission. One generally associates them with scooters but there are cars that also have them. I have read of problems with the CVT but I think they are making them even better now.

Here is a visual of the CVT (from Wikipedia). 

Here is a simple demonstration of the CVT (from Wikipedia).

I think they would be ideal for small cars since it would give them an even greater miles per gallon rating yet give them more appeal with those who want an automatic transmission. I think of some small cars as more 'enclosed scooters' than small cars. I think it would be great in a front wheel drive front engine combination or a rear wheel drive rear engine combination; either giving more space inside the vehicle which what is a premium in small cars. 

One such small car was the Subaru Justy (Wikipedia). 

From what I read about it, it not only had a continuous variable transmission but also four wheel drive. It would be nice if Subaru brought back the Justy with all wheel drive and a continuous variable transmission. Perhaps they could rename it 'Outback Jr'.  

Here is a list at Wikipedia of vehicles with a CVT. There were a lot more cars than I expected. It includes cars present and past. 

One such car is the Mini Cooper. The automatic is a CVT.