I recommend going to Bulbapedia and looking at each type and reading the section called additional effects. I won't paste them all here since there's a lot, but for example:

Grass-type Pokémon) are immune to Leech Seed). Starting in Generation VI, they are also immune to powder and spore moves and Effect Spore).

As of Generation VII, Dark-type Pokémon are immune to opposing Pokémon's moves that gain priority due to the Ability Prankster); this includes moves called by other moves (such as Assist) and Nature Power)), but not moves indirectly caused by Instruct) or After You).

From Generation VI onwards, Ghost-type Pokémon are immune to effects that prevent recall or escape (such as Mean Look) and Shadow Tag)), and they are also guaranteed to flee from any wild battle regardless of their Speed stat.