After the defeat of the demon lord Hadlar all of the monsters were unleashed from his evil will and moved to the island of Delmurin to live in peace. Dai is the only human living on the island. Having been raised by the kindly monster Brass, Dai's dream is to grow up to be a hero. He gets to become one when Hadlar is resurrected and the previous hero, Avan, comes to train Dai to help in the battle. But Hadlar, announcing that he now works for an even more powerful demon lord, comes to kill Avan. To save his students Avan uses a Self-Sacrifice spell to attack, but is unable to defeat Hadlar. When it seems that Dai and Avan's other student Pop are doomed a mark appears on Dai's forehead and he suddenly gains super powers and is able to fend off Hadlar. The two students then go off on a journey to avenge Avan and bring peace back to the world.
 
(Source: Anime News Network)

Dragon Quest is loosely based on Dragon Quest III. The names and some of the characters are familar, but the world map is smaller and a very different shape. The two main characters are Abel and Tialah. Tialah receives the legendary Red Stone from the Aliahan Village sage Master Yogi. Soon after, Tialah is kidnapped by the evil Baramos who wants to use the Red Stone to resurrect The Great Dragon and be granted eternal life. Abel swore to rescue Tialah and he is given the Blue Stone, which can only seal the Dragon once it has been released. 
(Source: AniDB)

After the defeat of the demon lord Hadlar all of the monsters were unleashed from his evil will and moved to the island of Delmurin to live in peace. Dai is the only human living on the island. Having been raised by the kindly monster Brass, Dai's dream is to grow up to be a hero. He gets to become one when Hadlar is resurrected and the previous hero, Avan, comes to train Dai to help in the battle. But Hadlar, announcing that he now works for an even more powerful demon lord, comes to kill Avan. To save his students Avan uses a Self-Sacrifice spell to attack, but is unable to defeat Hadlar. When it seems that Dai and Avan's other student Pop are doomed a mark appears on Dai's forehead and he suddenly gains super powers and is able to fend off Hadlar. The two students then go off on a journey to avenge Avan and bring peace back to the world. 
(Source: Anime News Network) 
Notes:Chapter count includes the respectively two and three chapter short stories "Derupa! Iruiru!" and "Dai Bakuhatsu!!" which were published in earlier Weekly Shonen Jumps pre-serialization and collected in the volumes.

After the defeat of the demon lord Hadlar, all of the monsters were unleashed from his evil will and moved to the island of Delmurin to live in peace. Dai is the only human living on the island. Having been raised by the kindly monster Brass, Dai's dream is to grow up to be a hero. He gets to become one when Hadlar is resurrected and the previous hero, Avan, comes to train Dai to help in the battle. But Hadlar, announcing that he now works for an even more powerful demon lord, comes to kill Avan. To save his students, Avan uses a Self-Sacrifice spell to attack, but is unable to defeat Hadlar. When it seems that Dai and Avan's other student Pop are doomed, a mark appears on Dai's forehead and he suddenly gains super powers and is able to fend off Hadlar. The two students then go off on a journey to avenge Avan and bring peace back to the world.
 
(Source: Anime News Network)

Based on Dragon Quest V: Hand of the Heavenly Bride. Ryuka was enslaved and forced into building a great temple after being stolen from his father who he watched be killed by powerful foes when he was trying to protect him as a child. When he escapes slavery 10 years later he starts a journey to uncover the secrets of his father's past and soon finds out his mother is still alive, so he sets off on an adventure to rescue her from the underworld. And, of course, he must also make the difficult decision of who to marry... Bianca or Flora?
 
(Source: Tokyo Otaku Mode)

It starts with a kid named Dai remembering a story told to him by his grandfather, the monster magician Brass, about the defeat of the Demon Lord Hadlar by the hands of a hero who, as the story progresses, is known to be Avan. 
Dragon Quest Dai no Daibouken Movie 01

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