I've been using Ian's Secure Knot from the same site for a few years now, after my slippery-shoelace problem reached such crisis proportions that I preferred to spend an hour Googling for, and learning, a better knot, than having to keep retying my shoelaces.
The new knot has never once accidentally come undone, and is about as quick to tie and untie as the Standard Knot -- maybe even a little faster.