New york city, the chicago core (probably not greater chicagoland), SF, LA, Portland, Seattle proper would all be excellent candidates.

An e-bike can go 20 miles comfortably which means you could take it to work, lock it up and charge at work, and ride back in the evening for most commutes. I'd guess about 30 minutes is the upper bound average for most commuters that would ride a bike to work. Seattle and SF are perfect for pedal assist e-bikes because hills feel like flat roads, and their public transit system isn't nearly as good as NY

Your listing LA as a non car-centric city? You must be joking. LA is the absolute antithesis of a non-car centric city. Maybe you missed this?

http://www.latimes.com/local/lanow/la-me-traffic-los-angeles...

And maybe you haven't been to NYC in a while because although there is lots of mass mass transit, that does not make it non car-centric. It most certainly has a car traffic problem. Just because you don't have to own a car does not make a city non-car centric.

If you look at the inrix score care you will LA is number 1 for traffic and NYC is number 3.

http://inrix.com/scorecard/