The following components are needed for your audio amplifier project:

Please note that the specific components you select will have to maintain a THD (Total Harmonic Distortion) of less than 0.1% at full power, have a frequency response between 20Hz to 20kHz, and operate between -40 ºC to 85ºC as these are your project requirements.

Please make sure to select the components which are RoHS, FCC, and CE compliant.

You also need to ensure that the selected Class D amplifier can deliver the required output power for your project, which is not specified in the project description.

Your project criteria suggest you are looking for a Class D audio amplifier with a frequency response from 20Hz to 20kHz and a total harmonic distortion (THD) of less than 0.1% at full power. The TPA3116D2 by Texas Instruments would be a suitable fit for your project. It has a bandwidth of 20Hz to 20kHz, and it provides a class D operation with high efficiency and low distortion.

Moreover, it has an excellent thermal performance, operating from -40 ºC to 85ºC, which matches your project requirement. The TPA3116D2 can deliver up to 100W into a 2Ω load and 50W into a 4Ω load from a 12V supply, which should be more than sufficient for a stereo setup, considering that your project requires two channels.

Don't forget to consider other components that you might require, such as Bluetooth modules for connectivity, 3.5mm Jack for audio input, LED for user interface, and power supply components considering your operating voltage is 12V.

Please remember the above recommendation is based on the project description provided, for detailed design and connection of components, a design schematic will be needed.