When cards are cut into special shapes it is known as "DIE-CUT" this refers to the steel blades ~the " Die"~ that publishers use in the cutting process.
certainly there are zillions (yes! zillions!) of examples of the creative ways card makers have used die-cutting to make their cards. Here are a few examples from my collection>>
these adorable old
Valentines are typical of what you
might imagine when you hear "die-cut"
the die-cut designs used on this