Here are the names of the rare monsters in the order of the picture.
[Scorched Land Dragon Knight, Himiko], [Burning Maiden, Princess Valkyrie], [Zeus Vulcan], [Crimson Lotus Mistress, Echidna], [Mystic Megalith Dragon, Baalbek], [Hera-Ur (Two)], [Ishikawa Goemon], [Fire Mechdragon, Betelgeuse], [Horus (Two)], [Fire Courier Mitsuki], [Dino Rider], [Phoenix Knight Homura], [Kagutsuchi], [Minerva], [Strawberry Dragon], [Ice Samurai Ogre], [Agdrall], [Gigas], [Ethereal Guardian Seiryuu, Karin], [Hidden Sea Dragon Knight, Cleopatra], [Wadatsumi], [Mystic Mech Dragon, Antikythera], [Hera-Is], [Blue Wing Ninja, Hatsume], [Water Samurai Dragon, Kenshin], [Ancient Water Dragon, Bowmore], [Ice Mechdragon, Aldebaran], [Andromeda], [Umisachi & Yamisachi], [Amon], [Beast Rider], [Idunna & Idunna], [Siegfried, the Blue Champion], [Enchantress of the Sea, Siren], [Viper Orochi], [Neptune], [Undine], [Wood Ice Ogre], [Berserk], [Sea Serpent], [Fenrir Knight], [Heracles], [Mystic Painting Dragon, Nazca], [Zeus-Dios], [More Cu Chulainn, the Hero], [Awoken Odin], [Wind Mechdragon, Canopus], [Incarnation of Genbu, Meimei], [Sarutobi Sasuke], [Bastet], [Marine Rider], [Freyja], [Fortoytops], [Parvati], [Cu Chulainn, the Green Lancer], [Susano], [Fafnir], [Melon Dragon], [Sylph], [Brachys], [Radiant God of Creation, Izanagi], [Solar God of Heaven's Bow, Apollo], [Warrior Rose, Graceful Valkyrie], [Love Deity, Chaos Venus], [Hera-Sowilo (Two)], [Divine Flowers, Da Qiao & Xiao Qiao], [Sandalphon], [Empress God, Izanami], [Mystic Crystal Dragon, CrystalSkull], [Athena], [Green Shining Divinegon], [Noble Mechdragon, Regulus], [Zeus], [Yellow Sky Fruit, Lemon Dragon], [Sun Wukong], [Takeminakata], [Incarnation of Kirin, Sakuya], [Archangel Raphael], [Fuma Kotaro], [Ra], [Dragon Rider], [Genie, the Light Elemental], [Machine Golem Mk.III], [Angelion], [Verche, the Knight of the Sky], [Amaterasu], [Venus], [Valkyrie], [Ivory Dragon], [Angel], [King Shynee], [Yomi God, Izanami], [Satan], [Beelzebub], [Seraph of Dawn Lucifer], [Gryps Rider Finn], [Annihilate Mechdragon, Hadar], [Hera (Two)], [Purple Sky Fruit, Grape Dragon], [Pandora], [Okuninushi], [Drawn Joker], [Witch of the Night, Lilith], [Grape Dragon], [Thanatos], [Basilisk], [Vampire Lord], [Devil Dragon]
