Such as Aerodactyl and Mega Altaria.
EDIT: BE SURE TO TYPE THEM ALL IN.
Hope I helped!
Essentially, if a dual-typed Pokémon has one type that is super-effective against the other (e.g. Ludicolo is Water/Grass. Grass is super-effective against Water), it would be considered "super-effective against itself". Also, any Ghost-type or Dragon-type Pokémon is super-effective against themselves. There are a huge amount of such Pokémon. If you want to see the full list, look at the source.
Source: [Dual Type Chart]
EDIT: Massive thank-you to fondant for pointing out neutral damage.
Dragon type are