In Hamlet's "To be or not to be" soliloquy, what are some literary terms (metaphors, similes, hyperboles, alliterations, paradox, euphemism,...

This short speech uses many literary devices.  Here are a
few samples.

a) "to suffer / The slings and arrows of
outrageous fortune"

Metaphor:
Unfortunate events that can occur to a person are compared to slings and
arrows.

b) "a sea of
troubles"

Metaphor: the many
troubles that a person might suffer from are compared to a
sea 

c) "To die, to sleep— / To sleep—perchance to
dream"

Anaphora: The
repetition of the infinitive form of the verb (to die, to sleep, etc.) can be considered
a form of anaphora, or forceful repetition. 

d) "The
oppressor's wrong, the proud man's contumely,
The pangs of disprized
love"

Alliteration: "Proud"
and "pangs" are examples of simple alliteration; they are joined by "oppressor's" and
"disprized," which have the "p" sound not in the beginning of the word, but in its
stressed syllable.