Conversion of .amr (Adaptive Multi-Rate) audio files to MIDI instrumental music (.mid, .midi) is doable and can be done for example using the free WavePad. Just keep in mind that MIDI files are computer generated instrumental music, they will have same melody but sound different.
Convert Adaptive Multi-Rate compressed audio to MIDI audio.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert amr to mid on Windows
An audio editing software for Windows and Mac
Convert from amr file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.