Does audio OP-AMP circuit needs output capacitors?
In each of the circuits you show, the input is AC-coupled, with a DC return to ground, and the feedback path is also referenced to ground. Therefore, the only DC on the output will be due to the internal offset of the opamp itself, plus the input bias offset, multiplied by the closed-loop gain of the circuit (which is 10 in both cases).

Since this should be an insignificant value, DC blocking capacitors on the output are not required.