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The Banned and Restricted List are the cards that cannot be played, or a restricted to a certain amount.

TCG Banlist
There is nothing restricted in the english game of duelmasters. However after its release, Bombazar, Dragon of Destiny was placed on a "watch list" by Wizards of the Coast.

OCG Banlist
As of dm-33, this is the current list of banned or restricted in Japanese play. There is also a deck maximum of 40 cards, unlike the english game where it the minimum.

Banned

 * Galberius Dragon
 * Ultimate Galaxy Universe
 * The Universe Gate
 * Cosmic Darts
 * Bombazar, Dragon of Destiny
 * Hell Slash
 * Future Slash
 * Slash Charger
 * Aqua Patrol
 * Bolmeteus Sapphire Dragon
 * Silver Glory, Invincible Fortress

Restricted to 1

 * Cyber Brain (In the OCG, this card is called "Cyber Brain", and allows the player to draw up to 3 cards instead.)
 * Skeleton Vice
 * Soulswap
 * Transmogrify
 * Judgement of the Flame Spear and Water Sword
 * Streaming Shaper
 * Astral Reef
 * Cursed Totem
 * Pacific Champion
 * Sea King Dragon Saint Last Avatar
 * Deep Operation
 * Aquan
 * Dark Hidora, Lord of the Evil Planet
 * Inferno Gate
 * Überdragon Bajula
 * Bajula's Soul
 * Lightdragon Spell Del Fin
 * Romanesk, the Dragon Wizard
 * Perfect Galaxy, Spirit of Immortality
 * Corile
 * Emeral
 * Purple Piercer
 * Nariel, the Oracle
 * Ancient Horn, the Watcher
 * Miraculous Plague
 * Miraculous Meltdown
 * Miraculous Snare
 * The Grave of Angels and Demons
 * Alphadios, Lord of Spirits
 * Noble Enforcer
 * Diamond Sword
 * Bazagaberg Hayate Dragon
 * Bolmeteus Steel Dragon
 * King Alcadeias, Holy Gaia
 * Snarling Old Man of Earthquakes and Fire
 * Murmur, Apostle of the Formation
 * Mega Innocent Sword
 * Crest of Mother
 * Soul Advantage
 * Petrova, Channeler of Suns