Now I know there isn't much choice out there right now for RPG's on the PSP what with regurgitations of FF1 and FF2 and Breath of Fire 3, and the abominable Valkyre series, but I found this game tucked away in the back of my local game store. I was actually hoping to order a copy of Crisis Core FFVII and found this instead.
I have played it CONSTANTLY and have found it both absorbing and time-consuming. The characters could do with a little 'rounding off' and some of the game graphics are a little off (odd white line between trees/plants/ground) but this is more than made up for in the battle strategy and the crafting system. Yes, crafting. You only have to buy an item once, have it appraised and then collect/purchase what you need to make it more than once! Far cheaper than buying something four times!
Others here have mentioned the monsters are indicated by floating skulls, and this it true, but fear not that the monsters remain the same level and therefore easier as you gain in level...not so, allow two or more 'skulls' to merge and suddenly you have a very challenging battle on your hands with heaps of exp and items to be had. The 'Luna' system is interesting and completing missions for the locals will allow it to grow, giving you more points to play with in casting spells and completing some awesome moves. I advise anyone who wants a fun yet challenging RPG to play this, at worst it's a fun stop-gap while waiting for something better and at best you'll find hours have merrily sped by while you play. Buy it, enjoy it, you wont regret it.