I think that any G3 or G4 can run Tiger just fine, given enough ram and hard drive space. However, there is an on going debate that it is better to run Panther on G3s. You will always get the biggest bang for your buck maxing out ram on older machines. In your specific example, a G3 iMac can run Tiger, a Mac Mini G4 definitely should run Tiger (not Panther), it could also run Leopard comfortably.