After updating to El Capitan I just discovered that all of my .swf files were inaccessible since Adobe Device Central CS5.5 required Legacy Java SE 6 runtime for it to be functional.
So I downloaded that (https://support.apple.com/kb/dl1572 – October 2017) and installed same.

That didn't help: I was left with Device Central stalled at "Initializing Library ...", which I had to forcequit ... repeatedly.

Back to square 1. Any thoughts towards a (re)solution?

Note: Used to be that just dragging and dropping the .swf file onto my browser yielded the desired playability. That is apparently no longer possible.