The LM358 and LM324 opamps have a low bandwidth of only 2kHz and 3% of crossover distortion.
The Motorola (ON Semi now) MC33171 single, MC33172 dual and MC33174 quad opamps have exactly the same low supply current, exactly the same minimum supply of 3V, exactly the same inputs that work at the negative supply voltage that can be ground and exactly the same output that goes very close to the negative supply voltage that can be ground.
But they are much better because they do not have any crossover distortion and have a bandwidth to 35kHz. They also have a max supply voltage of 44V which is much higher than the max of only 32V for the National Semi opamps.