Which aircraft have made notable use of lateral asymmetry? I'm asking about functional asymmetry - doors on one side but not the other wouldn't count.

Examples

I can think of three examples:


experiments with oblique wing designs, such as NASA's utterly hideous AD-1, designed apparently by Burt Rutan
displaced fuselage designs, such as the Blohm &amp; Voss BV 141 or (another Burt Rutan aircraft), the Boomerang
all single-propeller aircraft, in which the torque of the engine exerts asymmetrical forces on the aircraft


Symmetrical asymmetry doesn't count

(Then there are some that I don't think really count - for example, the Wright brothers' Flyer 1 placed the engine and the pilot side-by-side, but since they were intended to balance each other out and the twin propellors were symmetrically placed, that counts as an attempt at symmetry as far as I am concerned!)

Other examples, and the reason for their asymmetrical design

Are there any other good examples? The more ugly and wrong-looking, the better. 

I'm interested in the problems that the asymmetry aimed to solve - for example, oblique wing designs aimed to procure aerodynamic advantages (which turned out to be at the expense of handling issues), or Rutan's Boomerang which "was intended to be a multi-engine aircraft that in the event of failure of a single engine would not become dangerously difficult to control due to asymmetric thrust" (Wikipedia)

Visual reference

Just for reference, here's the AD-1 (NASA, via Wikipedia):



... and the BV 141 (Deutsche Bundesarchiv, via Wikipedia):
There are quite a few asymmetric aircraft, most of which are,


experimental
engine test beds 


A good example of experimental aircraft is the NASA F-16XL



F-16XL with supersonic laminar flow control experiment (black area on left wing, front) or "glove." Image from nasa.gov

Aircraft used as engine test beds are usually asymmetric. The following image shows a B-47 Stratojet used as engine test bed for the the Orenda engine earmarked for Avro Arrow program.



Image from silverhawkauthor.com

A closeup of the rear:



Image from google

English Electric Canberra PR9s had offset canopies.



By MilborneOne - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=13266605

So did the de Havilland Sea Vixens.



By Yeovilton_Vixen_2009-001.tif: Nigel Ishderivative work: Cobatfor - This file was derived from &nbsp;Yeovilton Vixen 2009-001.tif:&nbsp;, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=19477903

Of course, all 'conventional' helicopters (with tail rotors on one side) are asymmetric, but I don't think that's what you're after here.

Also, see this page and the Wikipedia page on asymmetric aircraft. As a disclaimer, I wouldn't call any of these aircraft 'ugly'.