Lugia in depth
Half bird, half plesiosaur
The design mixes three things that do not normally go together. The wings and beak are avian; the neck and tail belong to a marine reptile; the stance and dorsal plates point to a dragon. That combination explains why it looks equally believable flying above a storm or sleeping on the seafloor, which are the two places its entries put it.
Its name has no official etymology. It is the same in Japanese (ルギア, Rugia) and English, which is unusual, and the theories found in encyclopedias go in two directions: deluge, because of its connection with water and storms; or lutetium, the silvery metal whose symbol is Lu, because it was the mascot of Pokémon Silver. Neither has been confirmed by Game Freak.
From the Whirlpool Islands to the North Sea
Its capture history is a list of keys. In Gold, Silver, and Crystal, it lives in the Whirlpool Islands, and you need the Silver Wing to reach it. The remakes made the process more complicated: in HeartGold and SoulSilver it still requires the Silver Wing, and in SoulSilver it also requires the Tidal Bell. Outside Johto, it has appeared on Navel Rock in FireRed and LeafGreen, in Sea Mauville in Alpha Sapphire, and, in Scarlet and Violet, in Paldea's North Sea, after obtaining the required snack in The Indigo Disk DLC.
Then there is the specimen that does not appear in any main-series game: the Shadow Lugia from Pokémon XD, purple instead of silver, catalogued as XD001 and with its own move, Shadow Storm, which does not exist outside that game.
Pressure or Multiscale
Aeroblast has been Lugia's move since 1999 and still is: no other species learns it. The level at which it gets the move has shifted from game to game — here it comes at 54, while in Sun and Moon it was at 77 — and its 5 PP force you to ration it. In Sword and Shield and in Scarlet and Violet, the move was introduced broken and did not work; it was fixed in version 1.3.0 of each game.
The abilities are more complicated. Pressure, the standard one, increases the opponent's PP usage. Multiscale, the hidden one, is the ability it shares with Dragonite, and the one that made it famous as a wall. During Generation V, it was not clear which was better: Pressure always works, while Multiscale requires entering the battle at full HP, something a Flying type rarely manages when the opponent has set hazards. The argument settled itself in later generations, when items that nullify entry damage and opponents capable of bypassing the ability in one hit appeared.
With 106 HP and 154 Special Defense, there is an obvious temptation to try turning it into an attacker with Calm Mind, available at level 27. It rarely works: 90 Special Attack starts too low, and the turns it spends boosting are turns it is not spending healing. Its best native attacks — Future Sight at 81 and Fly at 90 — arrive late and come with drawbacks, a two-turn delay in one case and a recharge turn in the other.