(1) I am seeking the dance where 1's and 2's take turns being active and when active, dancers turn four different corners.   

(2) I am compiling a list of contra corners dances that people like or find distinctive.
Ones already on my list are  
.. Alternating Corners by Jim Kitch
   https://www.ibiblio.org/contradance/thecallersbox/dance.php?id=10261
.. Alone at the End by Al Olson
  https://www.ibiblio.org/contradance/thecallersbox/dance.php?id=689
.. Equinox  by Jim Kitch
  https://contradb.com/dances/1514
.., Blackbirds of Spring  by Al Olson
  https://www.ibiblio.org/contradance/thecallersbox/dance.php?id=10413
.. Contra  Corners Special  by Al Olson
  https://www.ibiblio.org/contradance/thecallersbox/dance.php?id=15862
.. The Tease  by Tom Hinds
  https://contradb.com/dances/113