Lord Zedd had come to the Moon, to try destroying the Power Rangers and taking over Earth himself. He sent down Pirantishead, who succeeded in freezing four Dinozords and taking control of the other. A simple refractoring of morph waves by Alpha 5, the Dinozords became Thunderzords, much more powerful than their predecessors. The Thunderzords were destroyed by Rito Revolto when he came to Earth to join Rita's crusade.

Red Dragon Thunderzord
The Red Dragon Thunderzord is piloted by the Red Ranger
Unicorn Thunderzord
The Unicorn Thunderzord is piloted by the Blue Ranger
Lion Thunderzord
The Thunderzord is piloted by the Black Ranger
Griffin Thunderzord
The Griffin Thunderzord is piloted by the Yellow Ranger
Firebird Thunderzord
The Firebird Thunderzord is piloted by the Pink Ranger
Thunderzord Assault Team
The Thunderzords combined to form the Thunderzord assault team. The Lion, Unicorn, Griffin, and Firebird would combine into an airborne chariot, which the Red Dragon would ride in its warrior mode.
Thunder Megazord
Red Dragon, Griffin, Lion, Firebird, and Unicorn, could all combine and form the Thunder Megazord with the Red Dragon as the head and torso, the Lion as the arms, chestplate, and helmet, the Firebird as the belt, and the Unicorn and Griffin each as a leg. The Thunder Megazord had a power sabre, which which it stored in a sheath on its belt, and could shoot a powerful blast as a finishing move.