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.

Rohirrim Call to Arms

Arise now, arise, Riders of Theoden!
Dire deeds awake, dark is eastward.
Let horse be bridled, horn be sounded!
Forth Eorlingas!