I have the 10-30 and 30-110 zooms, which are probably considered kit lenses for the 1 system, plus I have the 6.7-13 zoom which is more expensive (I needed a wide zoom).
There's also a 70-300 zoom which I'd love to own but can't justify the price. Maybe if I was a nature or sports photographer...
One of the neat things about the mirrorless cameras is you can get adapters and use your old "full size" lenses on them. I bought an inexpensive adapter from Fotodiox so I can use my Nikon F-mount lenses on my J3. Its fun.