Arch-types are a series of monster card with the same name and that have monster, spell and trap to go with them.
here are all the arch-types:
X-Saber
-----------
Elemental Hero
------------------
Evil Hero
----------
Destiny Hero
---------------
Scarp
-------
Synchron
-----------
Junk
-----
Blackwing
-----------
Amazoness
-------------
Gem Knights
--------------
Evol
-----
Vylon
------
Nordic
--------
Laval
------
Morphtronic
-------------
Ally of Justice
----------------
Genex Ally
------------
Magician
----------
Blue-Eyes
------------
Red-Eyes
-----------
Mist Valley
------------
Ancient Gear
---------------
Machina
---------
Genex
-------
Malefic
--------
Ice Barrier
------------
Gishki
-------
Photon
--------
Lightsworn
------------
LV (Level)
------------
Ninja
------
Six Samurai
---------------
Gladiator Beast
------------------
Joan
-----
Sphinx
--------
Wind-up
---------
Riods
------
Karakuri
----------
Inzektor
---------
Worm (Reptile Only)
------------------------
Guardian
-----------
Aliens
-------
These are all the Arch-Types monster cards that and even you can make deck after there name,types, and mix to make power deck to use in duel.