BSP today supports RT5658, SGTL5000 (Fe-Pi cards), Adafruit I2S MEMS Microphone, Adafruit I2S 3W Stereo Speaker Bonnet based cards. Some of the known working codecs are AC108 (present on ReSpeaker 4-Mic circular array card), RT5639, RT5640, PCM1863, PCM1865. References of these you can find in the forum discussions. Based on your application/requirement you can select one among these.
I am not the right person to comment on this. You can post a separate query regarding this on the right module.