The poems listed here are from various writings of Tolkien.  Although the majority can be found in The Hobbit or LotR, some come from The Tolkien Reader.  Of course, I do plan on adding more in the future.   Note that not all the poems in Tolkien's writings have names.  I have given names to those that were without so as to make a distinction of it.

Galadriel's Message

To Aragorn:
Where now are the Dúneadain, Elessar, Elessar?
Why do thy kinsfolk wander afar?
Near is the hour when the Lost should come forth,
And the Grey Company ride from the North.
But dark is the path appointed for thee:
The Dead watch the road that leads to the Sea.

To Legolas:
Legolas Greenleaf long under tree
In joy thou hast lived. Beware of the Sea!
If thou hearest the cry of the gull on the shore,
Thy heart shall then rest in the forest no more.