Here are some poems I know by heart:

Sonnet 18

William Shakespeare

Shall I compare thee to a summer's day?

Thou art more lovely and more temperate:

Rough winds do shake the darling buds of May,

And summer's lease hath all too short a date;

Sometime too hot the eye of heaven shines,

And often is his gold complexion dimm'd;

And every fair from fair sometime declines,

By chance or nature's changing course untrimm'd;

But thy eternal summer shall not fade,

Nor lose possession of that fair thou ow'st;

Nor shall death brag thou wander'st in his shade,

When in eternal lines to time thou grow'st:

So long as men can breathe or eyes can see,

So long lives this, and this gives life to thee.

Sonnet 29

William Shakespeare

When, in disgrace with fortune and men's eyes,

I all alone beweep my outcast state,

And trouble deaf heaven with my bootless cries,

And look upon myself and curse my fate,

Wishing me like to one more rich in hope,

Featured like him, like him with friends possessed,

Desiring this man's art and that man's scope,

With what I most enjoy contented least;

Yet in these thoughts myself almost despising,

Haply I think on thee, and then my state,

(Like to the lark at break of day arising

From sullen earth) sings hymns at heaven's gate;

For thy sweet love remembered such wealth brings

That then I scorn to change my state with kings.

Sonnet 36

William Shakespeare

Let me confess that we two must be twain,

Although our undivided loves are one:

So shall those blots that do with me remain,

Without thy help, by me be borne alone.

In our two loves there is but one respect,

Though in our lives a separable spite,

Which though it alter not love's sole effect,

Yet doth it steal sweet hours from love's delight.

I may not evermore acknowledge thee,

Lest my bewailed guilt should do thee shame,

Nor thou with public kindness honour me,

Unless thou take that honour from thy name:

But do not so; I love thee in such sort,

As, thou being mine, mine is thy good report.

Sonnet 43

William Shakespeare

When most I wink, then do mine eyes best see,

For all the day they view things unrespected;

But when I sleep, in dreams they look on thee,

And darkly bright, are bright in dark directed.

Then thou, whose shadow shadows doth make bright,

How would thy shadow's form form happy show

To the clear day with thy much clearer light,

When to unseeing eyes thy shade shines so!

How would, I say, mine eyes be blessed made

By looking on thee in the living day,

When in dead night thy fair imperfect shade

Through heavy sleep on sightless eyes doth stay!

All days are nights to see till I see thee,

And nights bright days when dreams do show thee me.

Sonnet 55

William Shakespeare

Not marble, nor the gilded monuments

Of princes, shall outlive this powerful rhyme;

But you shall shine more bright in these contents

Than unswept stone, besmeared with sluttish time.

When wasteful war shall statues overturn,

And broils root out the work of masonry,

Nor Mars his sword nor war's quick fire shall burn

The living record of your memory.

'Gainst death and all-oblivious enmity

Shall you pace forth; your praise shall still find room

Even in the eyes of all posterity

That wear this world out to the ending doom.

So, till the judgement that yourself arise,

You live in this, and dwell in lovers' eyes.

Sonnet 116

William Shakespeare

Let me not to the marriage of true minds

Admit impediments. Love is not love

Which alters when it alteration finds,

Or bends with the remover to remove:

O no! it is an ever-fixed mark

That looks on tempests and is never shaken;

It is the star to every wandering bark,

Whose worth's unknown, although his height be taken.

Love's not Time's fool, though rosy lips and cheeks

Within his bending sickle's compass come:

Love alters not with his brief hours and weeks,

But bears it out even to the edge of doom.

If this be error and upon me proved,

I never writ, nor no man ever loved.

The New Colossus

Emma Lazarus

Not like the brazen giant of Greek fame,

With conquering limbs astride from land to land;

Here at our sea-washed, sunset gates shall stand

A mighty woman with a torch, whose flame

Is the imprisoned lightning, and her name

Mother of Exiles. From her beacon-hand

Glows world-wide welcome; her mild eyes command

The air-bridged harbor that twin cities frame.

"Keep, ancient lands, your storied pomp!" cries she

With silent lips. "Give me your tired, your poor,

Your huddled masses yearning to breathe free,

The wretched refuse of your teeming shore.

Send these, the homeless, tempest-tost to me,

I lift my lamp beside the golden door!"