I second the Piaggio MP3 suggestion! They are amazing motorcycles/scooters!
They come in 250 and 500cc sizes.
The Burgman's a great scooter. I have ridden the 650, not a 400. Compared to the 1960s, they have much larger diameter tires (I had a Lambretta in ~1961). A little heavy and as said above, requires longer legs.
BTW, Vespa is a unit within Piaggio, not the other way around.
Some MP3 pics attached and the website.
http://www.piaggio.com/piaggio/INT/en/MP3.html#main
Good luck on your 'next adventure!'
Joe T.