I "test drove" a really cool bike recently - the Trek Lime.
It has a 3-speed automatic transmission! There are interchangeable "inserts" so that you can change the look of it (like the Smart Car with its changeable body panels, only on a much smaller scale).
It has a computer-controlled servo that senses when you need to change gears, and it does it for you - well. "It works kind of like the automatic transmission in your aunt Edna's Buick." (That's how Trek puts it.) It also features a "trunk" under the seat, to put your cell phone or wallet.
Alas, it costs about $600 - a little out of my range.
Photo courtesy of the Trek Lime website.