I'll try to clarify this as best as possible.
Here are the main possibilities (in my opinion of difficulty....last two negligible):
*butterfly crossers
*crossers (same direction spin)
*straightjackets (same direction spin)
*butterfly straightjackets
Watch these two vids on
butterfly crossers and
basic crosser/straightjackets. This should give you a better understanding of the moves. The first vid will show you the direction of spin (opposite spin) for butterfly crossers and butterfly straightjackets. You will need to encompass concepts from the second vid to do the butterfly straightjacket. Crossers and straightjackets are both done with the same direction of spin (since each move involves crossing back and forth between forward and reverse spins they cannot be called 'forward' or 'reverse' crossers but there definitely are two different directions of spin for both). The key difference between any crosser and straightjacket is hand/wrist positioning. In a crosser, your arms are just crossed and spinning on the opposite side...with arms on top of one another....whereas in straightjackets, the wrist of the top arm will be tucked under the bottom elbow, making the spinning closer to your body and thus, more difficult to control (requiring more body/torso rotation and better plane control). The terms 'crosser' and 'straightjacket' are the more important terms and then 'butterfly' or 'regular/*nothing*' denote the direction of spins of your hands. Also note that some people refer to 'straightjackets' as an
inverted version of the straightjacket (straightjacket with an inversion....motions of a crosser, but arms 'crossed' as you would 'cross your arms') described in the tutorial....this is even harder yet. A tutorial can be found on youtube, but one is not on this site as of now.
I hope that clarifies these moves.