We're on our second home with a large asphalt driveway, and I too have tried just about product available off the shelf locally. I've tried thick liquid products, trowel grade products and calk.
Every one of them has been hit/miss. Cracks are typically going to move (why the crack is there in the first place), thus cracking the product you'er attempting to fill it with.
As Donald said above, something flexible and rubberized will hold up best. That's been my experience anyway.