The first wave of these plush was released by the JP Pokemon Center in 2019 and included Pikachu, Snorlax, Ditto, and Quagsire. The US didn't get the first wave of this plush until the second wave was released (a year later).
The second wave was released by the JP and US Pokemon Center in 2020. The plush released were Larvitar, Substitute, Toxel, Dedenne, and Skwovet.
The third wave was released in 2021 for both JP and US. The released plush were Zorua, Cinccino, Swablu, and Bidoof. But Bidoof was released earlier as a pre-order for Bidoof day.
The fourth wave was the Sinnoh starters.
The fifth wave was three of the Eeveelutions, Flareon, Jolteon, and Vaporeon.
Tag Information
The first two waves of the plush (that I know of) had smaller tags. The re-releases had larger tags. Here is a comparison of the early release tag of Quagsire back in 2019 and a re-release larger tag.
Pikachu Fuwa Plush (2019)
Pikachu Comfy Plush (2020)
Fluffy Plush (JP version) on left. Comfy Plush (US version) on right.