Remember that awesome scene in "Saving Private Ryan" where the paratroopers and Rangers make bombs out of their socks, stick them to tanks, and blow the treads off?
Well, the British and Germans actually had devices that did that, and no one had to take his socks off. Americans would have had to improvise to create the same effect, but there's little sign that they did this regularly since even the best sticky bombs had some serious drawbacks.
The British had one of the first sticky bombs, the Number 74 Mk. 2. It was developed thanks to the efforts of British Maj. Millis Jefferis and a number of civilian collaborators. Their goal was to create a device which would help British infantry fight German tanks after most of the British Army's anti-tank guns were lost at the evacuation of Dunkirk.
After a few failed prototypes, the British men settled on a design that consisted of a glass sphere filled with flexible explosives and wrapped in a sticky fabric of woven wood fibers. Infantrymen employed the device by throwing it with a handle that contained the fuse or swinging it against the tank.
The glass broke when the bomb hit the tank and deformed against the surface, allowing enough of the sticky fabric to attach for it to stay on the armor. When the handle was released, a five-second fuse would countdown to the detonation.
The Germans had their own design that used magnets instead of an adhesive, making them safer for the user. It also featured a shaped charge that allowed more of the explosive power to penetrate the armor.
But the German version featured the same major drawback that the British one did, the need for the infantryman to get within sticking distance of the tank.
Javelins and TOW missiles may be heavy, but they're probably the better choice than running with bombs.