Here are all of the current Pokémon hometown themes in every game (from Red Green Blue & Yellow to Sword & Shield). Time stamps are posted in the comments. Enjoy :)

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Disclaimer: I do not own any part of this video. All music and images belong to their respective owners.

Pallet Town - Pokémon Red Green Blue Yellow
Composed and arranged by Junichi Masuda

New Bark Town - Pokémon Gold Silver Crystal
Composed and arranged by Junichi Masuda and Go Ichinose

Pallet Town - Pokémon Gold Silver Crystal
Composed by Junichi Masuda and arranged by Morikazu Aoki

Littleroot Town - Pokémon Ruby Sapphire Emerald
Composed and arranged by Go Ichinose

Pallet Town - Pokémon FireRed LeafGreen
Compsoed by Junichi Masuda and arranged by Go Ichinose

Twinleaf Town (Day + Night) - Pokémon Diamond Pearl Platinum
Composed and arranged by Hitomi Sato

New Bark Town - Pokémon HeartGold SoulSilver
Composed by Junichi Masuda and Go Ichinose
Arranged by Go Ichinose and Shota Kageyama

Pallet Town - Pokémon HeartGold SoulSilver
Composed by Junichi Masuda and arranged by Takuto Kitsuta

Nuvema Town - Pokémon Black White Black 2 White 2
Composed and arranged by Shota Kageyama

Aspertia City - Pokémon Black 2 White 2
Composed and arranged by Go Ichinose

Vaniville Town - Pokémon X Y
Composed and arranged by Shota Kageyama

Littleroot Town - Pokémon Omega Ruby Alpha Sapphire
Composed by Go Ichinose and arranged by Shota Kageyama

My Home - Pokémon Sun Moon Ultra Sun Ultra Moon
Composed and arranged by Minako Adachi

Pallet Town - Pokémon Let's Go, Pikachu! Let's Go, Eevee!
Composed by Junichi Masuda and arranged by Shota Kageyama

Postwick Town - Pokémon Sword Shield
Composed and arranged by Go Ichinose