Got it working with an old standalone Adobe Flash Player. At least this game has a "download" link, but the standalone player is much harder to find. Still, it's a hard game to get working.
Launch target should be: http://chat.kongregate.com/gamez/0004/2315/live/Bunny_Invasion_II_Easter_6_kong.swf - may glitch slightly but works if you use something other than Supernova.
This game has a bad launch target. Use http://chat.kongregate.com/gamez/0015/1371/live/SuperAdventurePals_Kong.swf in PaleMoon (or whatever you use to launch Flash games).
Supernova not working due to a bad launch target. Should be http://chat.kongregate.com/gamez/0005/6614/live/tossTheTurtleV1KONG.swf - or run that in Pale Moon etc.
This game becomes unwinnable at the fourth puzzle. When the sponge got wet and fell down, I tried backtracking to see if I could suicide and restart the section. Instead, managed to get the sponge back to the bottom floor by himself, and he lacked the jump power to go elsewhere.
The spirals tend to be killers - depending on how you enter them, you'll get killed just before you finish even if you go through the rest of the spiral without issue.
This game has a few bugs that make it unplayable. Sometimes it helps, where you drag a tile into another piece (giving more room to maneuver), but in one case it created a new tile out of thin air.