Lumines Puzzle Fusion (which I'll refer to as Lumines PC to avoid confusion with the original PSP and mobile titles) is a version of the game based on Lumines Live with a modified playlist, released for PC in 2007.
The game is split into two Challenge modes. This video covers the Classic Challenge, which contains skins from the first game. All skins from collaborators such as Mondo Grosso and Eri Nobuchika are not present.
Interestingly, the game was released twice. Once on WildTangent, and once on Steam. The Steam version adds the "Bloomy Girls" skin to the Classic Challenge, and "4x4 BRICKS" to the Advance Challenge, both of which are from Lumines II. Unfortunately, the Steam version was delisted once Lumines Remastered released, so I was only able to get footage of the WildTangent version (which is still available) for this video.
(Thank you to tikal. from TCRF for this additional information.)
