

Actually built planes that are somehow unusual. Modification and prototypes welcome, never realized concepts not so much.
Sea Vixen - twin engines, twin tail, twin cockpit, single canopy
Re-posting one of my posts from the other place
Proteus
Image Credits: NASA / Patrick Wright (Media Usage Guidelines)
The Proteus high-altitude aircraft incorporates a gull-wing shape for its main wing and a long, slender forward canard. Designed by Burt Rutan, obviously. For more details see its Wikipedia page.
YRB-36 and YF-84F (Fighter Conveyer project)
Image Credits: National Museum of the United States Air Force (Public Domain), VIRIN 060829-F-1234S-005
While the "six turning four burning" B-36 already is a decent WeirdWing, this modification for the FICON project is probably the cherry on top.
Besson H-5 flying boat / quadruplane
Image Credits: author unknown, original publication 1922 France (Public Domain)
Initially intended as marine recon / bomber this machine only made a few test flights.
More images of this beast on destinationsjourney.com. More info on Wikpedia.
Grumman X-29
The No. 1 X-29 advanced technology demonstrator aircraft banks over desert terrain near NASA's Ames-Dryden Flight Research Facility.
Image Credits: NASA (public domain)
This photo shows the X-29 during a 1991 research flight. Smoke generators in the nose of the aircraft were used to help researchers see the behavior of the air flowing over the aircraft. The smoke here is demonstrating forebody vortex flow. This mission was flown September 10, 1991, by NASA research pilot Rogers Smith.
More info on Wikipedia
Yakovlev Yak-40 OK-020
Image Credits: Jozef Tóth (CC BY-SA 3.0)
This particular plane served as Testbed for the M-601 engine used for the Let L-610.