Fairy does ×1 to Bug

Generations VI to IX, single types. The other way round, Bug against Fairy, is ×½.

64 Fairy and 92 Bug species among the 1025 this site covers.

Attacker, Psychic and Fairy Hatterene sprite

damage×1Generations VI to IX

Defender, Bug and Rock Shuckle sprite

Shuckle #0213

Fairy did not exist in Generation I and Generations II to V, so Fairy against Bug has no value there.

Strongest Fairy attackers

Hatterene leads Fairy at Sp. Atk 136

Sturdiest Bug defenders

Dual types that change the answer