TLE2142 is a basic BJT input op-amp with decent output current. Load drive capability is...okay I guess. Distortion is fairly high, open loop bandwidth is very small (looks like around 10Hz before -3db), and it's not really designed for very low impedance loads like a headphone. You could use it but it's no AD8397.
OPA2227 is ill-suited for this task. Distortion is high, especially after a few KHz, load drive capability is low, open loop bandwidth is tiny, and settling characteristics aren't very good on it. The 2227 is a 'precision' op-amp designed to work at or around DC; it is not designed to work for the audio band, and it is not designed to push a low impedance reactive load.