The LM358 & LM324 are really only good for DC. They have horrible crossover distortion, which means its output stage needs to be biased, with a resistor, so the current through the output stage doesn't change direction.
For most applications the crossover distortion of the 358/324 is not important. And even in audio applications, it usually does not matter except at low signal levels. If it does, then add a shunt output resistor or current source to force class-A mode. Audio applications usually benefit from a completely different part anyway.
A not too expensive direct high performance replacement for the single supply dual/quad 358/324 are the LT1013/LT1014 which also come in the LT1006 single version which supports offset null. These are precision parts with low offset and also have class-AB output stages. if you squint a little bit, the LT1006 might be considered a single supply version of the precision OP-07.
There are higher performance operational amplifiers now which are more "universal", but they cost more:
LT1008/LT1012/LT1097 - Precision low input bias current - Improved 308 - More general purpose "precision" than OP-07.
LT1006/LT1013/LT1014 - Single/Dual/Quad precision improved performance single supply 358/324 replacement.
There are also rail-to-rail output versions of the above now but there will never be equivalent rail-to-rail input versions. Still, there are some pretty good rail-to-rail input and output parts if you can accept compromised performance. I try to avoid them because they are mostly useful where supply voltage selection is limited.
Q: Isn't 741 a mammoth age design? Should we be using it anywhere these days?
Yes, people should be using the 301A instead.
Newer low cost parts are not generally any better than the 741, and many are worse, so there is no reason not to use it, or the 301A which has some advantages, where appropriate. If you can accept a cost premium, then there are lots of parts better than the 741 like the LT1008/LT1012/LT1097 which outclass it in every way except differential input voltage range.