Here’s (IIRC) a full list & first lines of all the songs in The Hobbit
*Chip the glasses and crack the plates!
Blunt the knives and bend the forks!
*(The dwarves’ cleanup song)
*Far over the misty mountains cold
To dungeons deep and caverns old
*
(The dwarves’ after-dinner song , featured in the first trailer - and I agree, Lasciel, it sounded great there - shades of Aragorn’s coronation song, too)
*O! What are you doing,
And where are you going?
*(The welcome song of the Rivendell Elves)
*Clap! Snap! the black crack!
Grip, grab! Pinch, nab!
*
(Goblins’ song in the caves)
*Fifteen birds in five firtrees,
their feathers were fanned in a fiery breeze!
*(Goblins’ song in the forest)
*The wind was on the withered heath,
but in the forest stirred no leaf:
(Dwarves’ song at Beorn’s)
*Old fat spider spinning in a tree!
Old fat spider can’t see me!
*
(Bilbo taunts Mirkwood spiders)
*Roll–roll–roll–roll,
roll-roll-rolling down the hole!
*
(Wood Elves’ barrel song)
*
The King beneath the mountains,
The King of carven stone,
*
(Lake-town song about the dwarves)
*
Under the Mountain dark and tall
The King has come unto his hall!
*
(The dwarves singing to Thorin)
*The dragon is withered,
His bones are now crumbled;
*
(The Rivendell elves’ returning song)
*Sing all ye joyful, now sing all together!
The wind’s in the tree-top, the wind’s in the heather;
*(The Rivendell elves’ song night-time serenade)
*Roads go ever ever on,
Over rock and under tree,
*(Bilbo’s homecoming song/poem/thingy)