Well, in theory, you shouldn't have to worry about which version you play. On the PS2, Puzzle Quest has one major drawback: it's almost impossible to read the text small symbols in the game unless you're using component cables because it's just so tiny and fuzzy. I'm willing to bet most people with a PS2 don't have this kind of setup. Even the PS3 makes you buy these high definition cables separately. It really does warrant a warning of some kind on the box.
Even after you get to the point where you can actually see the game, Puzzle Quest doesn't do much to impress. Of course, you've got a bunch of colorful gems and symbols to match up - it's a puzzle game. I can't really start a debate on how good looking a bunch of gem icons are, but when you see these types of games on the console, usually there's some kind of shine or sparkle animation to them at least. To the game's credit, when you cast spells or match up attack spells, there are some fairly flashy effects. Vibration adds an extra kick to things too. There is some nice anime-style artwork for character portraits and limited cut scenes, but beyond this, there's not much going on.
One big problem is that you might have trouble figuring out what happened when you were attacked or when you attack an enemy. A simple system using red numbers for hit point loss and green numbers for gain is one of the typical ways in which RPGs handle this problem, and that's what you'll see here. But with Puzzle Quest, things happen so quickly that if you aren't keeping mental tabs of your enemy's and your stats, you'll often be lost. On top of this, you probably have to use the help menus quite often in order to decipher anything on the screen that isn't a number. Even the turn status isn't very intuitive: there's a small, unassuming ball that glows closer to either you or your opponent. With the character portraits being fairly large on screen, you would think that it would highlight those or put a glow somewhere closer to them.
There is a limited song selection that repeats during pretty much every fight. They are a nice group of songs with soft flute sounds and an old world sound to them. But it's still only a few songs and a little snooze-inducing after a while. It's identical to the DS version of the game, so it's probably identical across all platforms. Though there is some voice acting during the opening cut scene, this is just a guy reading text for you while you watch a picture pan by - really nothing exciting. The sound effects for matching gems and casting spells work pretty well to make the game a bit more exciting. Unfortunately there aren't any sound options if you get tired of the music and need to adjust sound levels.