Something better than the LM4562?

Do what I did. Spend money on opamps, lots of them. Then, spend lots of time rolling them giving marks out of 10. Then, after a few months rolling and marking them out of ten, put the best one back in, which will be the LM4562.

Sell the others on auction website for little money and let someone else enjoy rolling them.

Following that, your next step is to build a discrete opamp, then......

......Spend money on opamps, lots of them
Then, spend lots of time rolling them.....
 
More suggestions:

OPA1678 - 4.5nV / 16MHz / 9V/μs / 2.25V min / CMOS
OPA1642 - 5.1nV / 11MHz / 20V/μs / 2.5V min / Fet
OPA2189 - 5.2nV / 14MHz / 20V/μs / 4.5V min / CMOS
OPA2210 - 2.2nV / 18MHz / 6.4V/μs / 2.5V min / BJT
OPA1622 - 2.8nV / 32MHz / 10V/μs / 2V min / BJT

Higher speed:
ADA4898-2 - 0.9nV / 65MHz / 55V/μs / 5V min / BJT
OPA1612 - 1.1nV / 40MHz / 27V/μs / 2.25V min / BJT
OPA1656 - 2.9nV / 53MHz / 24V/μs / 2.25V min / CMOS
 
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A sweeping generalization, to be sure. I've built a lot of circuits with LM4562s and no one has ever registered such a complaint. I can't comment on any other circuits though.

Before offering a suggestion to the OP it might help to hear what particular problem he is trying to solve, if any. If it's just an op amp rolling exercise, then that simply becomes a matter of personal preference.
 
More suggestions:

OPA1678 - 4.5nV / 16MHz / 9V/μs / 2.25V min / CMOS
OPA1642 - 5.1nV / 11MHz / 20V/μs / 2.5V min / Fet
OPA2189 - 5.2nV / 14MHz / 20V/μs / 4.5V min / CMOS
OPA2210 - 2.2nV / 18MHz / 6.4V/μs / 2.5V min / BJT
OPA1622 - 2.8nV / 32MHz / 10V/μs / 2V min / BJT

Higher speed:
ADA4898-2 - 0.9nV / 65MHz / 55V/μs / 5V min / BJT
OPA1612 - 1.1nV / 40MHz / 27V/μs / 2.25V min / BJT
OPA1656 - 2.9nV / 53MHz / 24V/μs / 2.25V min / CMOS
Thanks!
 
Do what I did. Spend money on opamps, lots of them. Then, spend lots of time rolling them giving marks out of 10. Then, after a few months rolling and marking them out of ten, put the best one back in, which will be the LM4562.

Sell the others on auction website for little money and let someone else enjoy rolling them.

Following that, your next step is to build a discrete opamp, then......

......Spend money on opamps, lots of them
Then, spend lots of time rolling them.....
Lol. I like to try.
 
- LMP8672 (probably discontinued)

- OPA1612 (which is barely available in SOIC8 at the moment)

- ADA4898-2

- OPA1656 (if the circuit around it is right, it performs like opamps which are much more expensive, because of the FET Input stage it doesn't produce so much noise even with higher resistor values on its inputs)

- AD8599 ( not a very fast opamp but therefore it is easy to get it stable in a circuit and it sounds well)

But I doubt that you will hear much difference, because the LM4562 is a very good opamp for audio.
Changing opamps in a circuit that you don't know can be fruitful but it is also possible that you achieve the opposite.
 
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Well each situation favour one type of op amps.I waited to see what everyone had to say and still I couldn't see mentiond any of my three top choices for op amps, but without clear instructions i won't just dive into one more rolling op amps topic...