Shall I compare thee to a summer's day?
The poem proposes a comparison, then dismantles it, and finally replaces nature with the poem itself as the thing that lasts.
Saying one thing is another (metaphor) or like another (simile). The interesting question is what the comparison transfers — which qualities move across, and what gets left behind.
For each comparison, name the two things joined and the one quality they share. If three qualities fit, the metaphor is doing more work than you thought.
Because a new comparison makes the reader see a familiar thing as unfamiliar for a moment.
Shall I compare thee to a summer's day?
The poem proposes a comparison, then dismantles it, and finally replaces nature with the poem itself as the thing that lasts.
The Sea of Faith
A tide becomes belief, and the withdrawing roar becomes decline. The metaphor carries an entire historical argument.
Gregor wakes as an insect.
The comparison is never explained, which forces you to decide whether it stands for illness, uselessness or being a burden.
Do not call every comparison a metaphor when it is a simile, and do not explain a metaphor until you have said what it makes you see.