Monster Stack'em

The moon is rising over the field. A group of monsters are trying to grow taller than any other monster has gotten. Fling this merry bunch of misfits across the field and stack them up one on top the other until they form a Leaning tower of Monster! Or Empire Monster State or any other tall building you can think of..you get the idea! Wait..one more..build a Monsterosity! Ok..ok...back to the game..