Lumines is the PSP game to have?

At the very least, it shouldn't be ignored.  Lumines is to PSP as Tetris is to Game Boy.  It's that simple:

Edge Magazine (80)
EuroGamer (80)
Gamer.tv (60)
GameSpot (90)
IGN (86)
NTSC-uk (90)
PSX Extreme (89)