Dahon offers a wide variety of 16ers (both 305 and 349) in various markets of the world, and in the past has offered some well-loved and/or quirky 16s in North America. Alas, these days N.A. offerings have dwindled down to just the K3+, retailed at an eye-popping $1499 (but currently discounted to $999).
BikeFriday offers the pakit. The single-speed model starts at $1795 (and just like that, the K3+ seems reasonable).
The Chedech, Iruka and the Hummingbird are all available for international ordering (and just like that, the pakit seems reasonable).
There's the Jcat - and now you know as much about the Jcat as I do.
There may or may not be the Burke 16.