This is a common problem with the PS2, the laser is out of tune for CD, it's not just Breath of Fire 3 that is the problem, insert a music disc or other ps1 game and it won't always read it. There is a very simple but time consuming soloution for this provided it is not a slimline:

Unscrew the ps2 casing taking care not to damage the silver ribbon that attaches the power unit controls.
remove the top of the disc tray
since you're looking at your laser housing ect first check the runners, slide the laser unit towards the center and back out again carefully, check the tray is not twisted/improperly adjusted, if it is it's really simple to just unscrew the tray and re-attach it to the casing correctly, if lubrication is needed for the runners the laser runs on, remove them from the console and wipe them with a tissue with a small amount of vaseline petroleum gel on it this makes them slippy again.
Ok so this is nice maintenance, also remove any dust from the inside of the console carefully, if you do not have compressed air to blow the dust out then I reccomend a clean white sock on the end of a small hoover attachment the reason for the sock is to prevent damage.
Now to actually fix your issue with the CD and such not working. there is a white plastic cog/gear in all models of ps2 this has never changed. I believe it has 72 teeth and can be found near the "resting" position of the laser unit. You will need the white magnetised laser cap from the tray lid at this point and for the console to be switched on using both a PS1 game and a PS2 game (if no ps1 game is available all old PS2 games printed on BLUE discs are actually CDs not DVDs) move the cog 1 increment at a time, I believe there to be 2 settings which will work for both cd and dvd, be careful when applying the cap of the cd tray not to let the metal magnet go down first it's really really difficult to remove the cap once this happens and thats not good. If the setting is not correct for both turn console off, remove disc and move gear by 1 increment, usually the cog will tick 1 increment out either direction so try these first if no joy then go in a clockwise motion until you have tried all of the settings until this works.
Finally, place the drive cap back in to the tray lid like it was, again metal magnet up please! then seal the console casing as it was before you opened it and screw shut. viola you have just performed a full service on your PS2. Sony used to charge around $75 for that and I used to charge 30 quid a service to do the same, all in all it should take with practise around 10 - 20 mins for the entire service.


You can thank me later for teaching you the ways of the gods!