What ModChip do you have installed? This may be causing the reading problems. Some software is not suitable to burn particular formats of game (CD, DVD etc...). Some software just doesn't like burning PS2 games. Try something like Nero Burning Rom for DVD and CloneCD for CD format games. If you provide some more info on your system then maybe some clearer answers can be provided...
LUFCfan,
PAL PS2 (SCPH 30003R)
Messiah
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Lifes a Bitch, then you marry one!