What famous statue invites Give me your tired?

Answer 1

The Statue of Liberty does.

The full version of the Sonnet (New Colossus by Emma Lazarus) that is mounted in the pedestal of the statue is as follows:

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-tossed to me,

I lift my lamp beside the golden door!"