sound of cat, cat's meow, meter, (Cantonese) don't!
咪 centers on the sound a cat makes: a meow. The 'meter' sense is a phonetic loan unrelated to the cat meaning, and the Cantonese 'don't!' is a colloquial usage.
咪 is a phono-semantic compound: 口 (mouth) suggests a sound, and 米 likely provides the phonetic element. The character was created to represent the meow of a cat.
A mouth 口 making the sound of a cat, with 米 (rice) hinting at the shape of a cat's face or the sound 'mi'.
For ビ, imagine a cat meowing 'bee' instead of 'meow': the cat's mouth 口 makes a buzzing 'bee' sound, cueing ビ.