Draco Meteor is unique in the fact that it can be taught to only Dragon-type Pokémon, but any Dragon type can learn it at any level, as long as it has maxed-out friendship. Arceus, although not a true Dragon-type, can learn this move only while holding the Draco Plate. Mew can't learn Draco Meteor, despite it saying that it can learn any kind of move.
Although it is said as "the strongest Dragon-type move", there are two moves that have a higher base power: Roar of Time, Dragon Energy at full health and Eternabeam. All of them are signature moves, however.
This is the only move which Mew cannot learn this is due to Draco Meteor being specific to Dragon Type Pokémon and Mew is a Psychic type.
In the anime, Ash catches a Gible who doesn't master the move until battling Conway in the Sinnoh League. The misfires always end up hitting Dawn's Piplup, though one of the first ones actually went towards intended target Barry's Empoleon first.