The graphics aren't that important in a puzzler, but lumines deliveres a pretty nice look either way.
The music has a lot to do with the lumines gameplay. Lumines is filled with different themes while you puzzle along. Each theme has their own music and a set of sound effects. This works very well, cause it makes the whole game very dynamic and gives it a nice little extra touch.
The gameplay is very good. There are a couple of modes for you to look into, and everyone od them has been though through. Especially the Puzzle mode is good, it's a new gameplay element, and is a nice break from the standard tetris-like puzzling. Lumines feels fresh and exciting, and I recommend it to everyone that's a fan of the puzzle genre. It may just be the best game on the PSP up to date.
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Nice graphics. Cool music, and the overall sound is awesome. Very addictive. Good modes.
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It's a puzzler! Don't expect a revolution in videogaming!