First of all I want to make it clear that we're not speaking about terrorist attacks here. This question is strictly dedicated to war operations, in a dictionary meaning.
Also this question is about all the history of military conflicts, not only World War II.
Surely everybody heard about suicide missions of kamikaze, Imperial Japanese Army Air Service suicide plane attacks against American warships during World War II. Around 4000 sacrificed aviators succeeded to destroy at least 47 ships and damage 300 of them. Similar conceptions in the Empire of Japan were Shinyo suicide boats, Kaiten submarines and Fukuryu suicide divers.
But this strategy wasn't used only by Japanese military forces. Also Luftwaffe used it in the closing stage of the war. From 17 April until 20 April 1945 (during the Battle of Berlin) 35 pilots of the Leonidas Squadron flew suicide sorties against bridges at the Oder river, which now is a borderline between Germany and Poland.
I'm also aware of the already asked question Is there a written history on the Sonderkommando Elbe? regarding the similarities of that Luftwaffe unit, used against American bombers, with the difference that the aviators were expected to bail out just before colliding.
The question is, are there any other examples of organizing intentional suicide attacks in a theater of war?