General Post-Game Activities:
* Explore the remaining dungeons: There are usually several dungeons left to explore after the main story. These can offer new items, rare Pokemon encounters, and challenging battles.
* Complete side quests: Many Pokemon Mystery Dungeon games have optional side quests that offer rewards and story elements.
* Collect all the items and Pokemon: If you're a completionist, you can strive to collect all the items, capture all the Pokemon, and achieve the highest ranks in the game's various guilds.
* Continue your journey: Many Pokemon Mystery Dungeon games have a "post-game" where you can continue exploring the world and facing new challenges, often with the added difficulty of more powerful enemies.
Specific Post-Game Activities in Certain Games:
* Pokemon Mystery Dungeon: Red Rescue Team/Blue Rescue Team: After defeating Lugia, you can continue to explore the newly opened areas and face off against stronger Pokemon. You can also try to complete the "Great Rescue Team" quest.
* Pokemon Mystery Dungeon: Explorers of Time/Darkness/Sky: After defeating Dialga, Palkia, or Giratina, you unlock the "Special Episode" where you face off against Groudon and Kyogre, and you can explore the newly opened dungeons.
* Pokemon Mystery Dungeon: Super Mystery Dungeon: After defeating the Legendary Trio (Groudon, Kyogre, and Rayquaza), you can explore the "Infinity Zone," a procedurally generated dungeon with endless challenges.
* Pokemon Mystery Dungeon: Rescue Team DX: After beating the main story, you unlock several new dungeons and challenge modes, including a "Super Dungeon" with increased difficulty.
Ultimately, what you do after beating Lugia is up to you! You can choose to relax and enjoy the post-game content, or you can continue to strive for perfection. The choice is yours!