Here are a couple of mine with more than 2 swings.

Swingin and Slingin by Jim Hemphill

A1 Neighbor balance and swing
A2 Ladies allemande right 1 1/2
     Partner swing
B1 Circle left 3 places
     1's swing in the center
B2 Down the hall in lines of 4 (1's in center)
    Without turning around, put it in reverse back up the hall, 1's arch and sling the 2's thru

Steam Train Indecent (2's cross over)
A1 Gents dance in to a long wave in the center, balance right and left
Gents allemande right 1/2, left 1/2 , right 1/2, step to your new neighbor
A2 New Neighbor balance and swing
B1 Circle left 3, pass thru up and down
Partner swing
B2 Ladies do si do 1 1/2
Neighbor (original) swing

Note: In B1 you will be reaching across to your shadow to form the circle and they may be slightly left diagonal after the neighbor swing. To ID your shadow, from indecent formation have dancers take hands in long lines and look at the couple on the Right diagonal. The person they would swing in that couple is your shadow.

The end effects are fast paced and according to some fun, so don’t relax at the end.