It's possible that the platforms aren't lining up properly...
or their collisions polygons aren't meeting...
or the player's collision polygons aren't correct...
or the collision polygons are changing due to changing animations or frames of animations...
But that's just guessing, which is all we can do without having anything to go by.
I get that you don't want to share your prized creation on an open platform, so here's a bit of advice that will solve at least that issue, if not your game's own issue: recreate just a small slice of your game that you won't mind sharing. Use the exact same events that you have in your main game, but just to test this particular issue.
While doing so there's a 90% chance that you'll figure out where the error is occurring. If you don't, then, well you can share that capx and other people can have a look.