Why is the LM386N-4 power rated @ 32Ω load, when the other variants are rated @ 8Ω? How can I find an appropriate speaker?
The -4 only has a higher Vs rating. So to increase power both Vs and R load must be increased to limit THD to 10%.

They are all output current limited due to the design's very efficient low idle current.


  Low quiescent current drain: 4mA


Your choice using this is to get 1W and 10% THD max is to use a string of 4 speakers in series.(4x8 Ohms)

A more powerful chip would have a higher idle current, not desirable for batteries.