* In the main series games (like Pokémon Red, Blue, Gold, Diamond, etc.): Legendaries are not guaranteed to appear just because you beat the game. They are usually found in specific locations and require certain conditions to be met (like certain items, specific times of day, or even needing to complete other tasks).
* In Pokémon Mystery Dungeon games: Legendaries are not typically found after completing the main story. Some games may have post-game events or missions where you could encounter them.
Here's a breakdown for some examples:
* Pokémon Red/Blue/Yellow: You need to catch specific Pokémon to get the legendary birds (Articuno, Zapdos, Moltres).
* Pokémon Gold/Silver/Crystal: You can get legendary Pokémon like Lugia and Ho-Oh, but it requires specific conditions.
* Pokémon Diamond/Pearl/Platinum: You can encounter Dialga and Palkia, but it involves an extra quest after beating the Elite Four.
To be sure about a specific game, it's best to check a guide or wiki for that game!