2 PS1 games in almost perfect condition arn't working on PS2
Try wiping the disks in a circular motion with a cotton t-shirt, tissue or cleaning cloth, then try again. If it still doesn't work, try a PS2 game. If it works, try another PS1 game. If the other PS1 game doesn't work, the PS1 part of your PS2 system may be broken. Your PS2 has, inside of it, a miniaturized PS1. If that mini-PS1 breaks, you can't play PS1 games. If the PS2 game doesn't work, you probably need a lens repair. If the other PS1 game works, then your games are defective and you should get new ones.