Pokémon the Series: The Beginning (1998-2000)
Pokemon the Series: Gold and Silver (2000-2003)
Pokémon the Series: Ruby and Sapphire (2003-2007)
Pokémon the Series: Diamond and Pearl (2007-2011)
Pokémon the Series: Black & White (2011-2014)
Series 1 (1997-2002)
This was the only logo used during its original run on TV Tokyo.
Series 2: Advanced Generation (2002-2006)
Series 3: Diamond and Pearl (2006-2010)
Series 4: Best Wishes (2010-2013)
Season 2 had 2 separate arcs way later during it's run. The first one was Episode N, the second one was Decolora Adventure.
Series 5: XY (2013-2016)
Series 6: Sun & Moon (2016-2019)
Series 7: (2019-present)