Space Planes

A few private companies have space plane designs

  Skylon Spaceplane

Sierra Nevada Corporation

Dream Chaser vehicle NOW ONLY A CARGO design to fly to the ISS for NASA in 2020s

Ascender - David Ashford of Bristol Spaceplanes

CARGO ONLY Designs

Defense Advanced Research Projects Agency (DARPA) XS-1 Experimental Spaceplane 'Phantom Express'

Indian Space Research Organization (ISRO) - Reusable Space Shuttle or Reusable Launch Vehicle (RLV)

 RLV - Technical Demonstrator (RLV-TD)

China - space planes 

 China's Shenlong ("Divine Dragon")

2020s China Academy of Launch Vehicle Technologies

 Chinese Spaceplane

Chinese company Space Transportation is developing a "rocket with wings" for space tourism and point-to-point travel (External Link)

USA Military Spaceplanes

X37B

 X-37B Military space plane

The Only active spaceplane (as of 2018)

Japan's PD Aerospace reusable space plane may be interesting to follow as well. https://pdas.co.jp/en/concept.html

PDAS

Old space plane designs in the past

German Sänger

European ESA Hermes (never flew, proposed in 1975 but never really started, In 1992, Hermes was cancelled )

NASA Space Shuttle (First flew April 12, 1981. The shuttle made its final landing July 21, 2011. During those 30 years, the space shuttle launched on 135 missions).

Russian Buran space shuttle (Flew once on the 15th November 1988)