biasing opamps into Class-A

The classic example of an opamp that benefits from output-biasing is the LM358 which has very asymmetrical output drive section - class A biasing this the right way improves linearity and bandwidth I believe, not that's it anything to write home about. The datasheet shows the schematic.
 
LM358 was never intended for audio. Worst crossover distortion I’ve ever heard in stock form, but ok with the resistor to ground/negative rail. Sub 1V per us slew rate leaves a bad taste in your mouth, though.

For applications where the LM358 is uniquely suitable, there is no substitute. The new versions with the same input stage and a “class AB output stage” won’t output zero volts DC when running off a singe supply.
 
LM358 was never intended for audio. Worst crossover distortion I’ve ever heard in stock form, but ok with the resistor to ground/negative rail. Sub 1V per us slew rate leaves a bad taste in your mouth, though.

I recently did research on the spectrum of some op amps. Test conditions - non-inverting amplifier with a gain of 12 dB, supply voltage 24 V, load 3 kohm.
This is the spectrum that the LM358 produces at an output voltage of 4 Vpp
LM358 4Vpp.png
For comparison, the spectrum of NE5532 (from ali) under the same conditions
NE5532 4Vpp.png
Interestingly, the high-speed AD812 has a fairly good spectrum
AD812 4Vpp.png