Pokémon 

Pokémon Adventures

by Hidenori Kusaka 

This follows several characters throughout the series and isn't solely based on one characters or region, so although one series is split into several parts. Some of which are based on the story lines of the games.

Pokémon Journeys

by Satoshi Tajiri

This follows Ash Ketchum and Goh on their journey across 8 regions, with Ash wanting to be the Pokémon Master and Goh wanting to catch one of every Pokémon.