I have here listed all of the tunes used in the song parodies, and
the meters used in the verse parodies:

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G&X meet G&S (Heroine Barbarian): "I am the very model of a modern major 
general" from _The Pirates of Penzance_ (William Schwenck Gilbert and 
Arthur Seymour Sullivan).

Parody Tonight: "Comedy Tonight" from _A Funny Thing Happened On The
Way To The Forum_ (Stephen Sondheim).

Alternate Xena openings: 
   Opening to _The Mary Tyler Moore Show_.
   Old English alliterative verse.
   Chaucerian "Rime Royal" (as in _Troilus and Criseyde_, among others).
   Opening to _Laverne and Shirley_.

Joseph and the Amazing Technicolor Dreamkosh: A sizeable fraction of
"Jacob and Sons" from _Joseph and the Amazing Technicolor Dreamcoat_
(Tim Rice and Andrew Lloyd Webber).

Leader of the Pak'(ma'ra'): "Leader of the Pack" (The Shangri-Las).

Babylon Fif: Old English alliterative verse.

The Laughing Vulcan and his Dog: "Kind Captain, I've important information"
from _HMS Pinafore_ (William Schwenck Gilbert and Arthur Seymour Sullivan).

Bajoran Gratitude Festival Carol: "God Rest Ye Merry, Gentlemen" 
(Traditional).

Butterfly: "Love is Like a Butterfly" (Dolly Parton).

World Without Shrimp: Possible tunes are discussed on the song's page. 

Chaucer's "Franklin's Tale": "City of New Orleans" (Steve Goodman).

Asimov's _Foundation and Empire_, Part Two: "I have a song to sing, O"
from _The Yeomen of the Guard_ (William Schwenck Gilbert and Arthur
Seymour Sullivan).

Tolkien's _Lord of the Rings_: "Raindrops on Roses" from _The Sound
of Music_ (Richard Rodgers and Oscar Hammerstein II).

Lyric Experiment: "Mickey" (Mike Chapmann and Nicky Chinn).

Love of the Dance: The Shaker hymn "Simple Gifts" (Elder Joseph Brackett)
as adapted in "Lord of the Dance" (Sydney Carter).
   
Cole Porter does Indo-European: "Anything Goes" from _Anything Goes_
(Cole Porter).

Fraught: Not a parody/pastiche.

Nonsilent W: "Silent E" (Tom Lehrer).

Egil at the Bat: The poem "Casey at the Bat" (Ernest Lawrence Thayer).

Ode to Shoemaker/Levy: Old English alliterative verse.

Some Early English fragments:
   The poem _Sir Gawain and the Green Knight_ (author unknown).
   Old English alliterative verse (x3).
   Chaucerian "Rime Royal".

Celtic Mnemonic: "Do-Re-Mi" from _The Sound of Music_ (Richard Rodgers 
and Oscar Hammerstein II)

Bartholomae, Grassman, and Grimm: "Alma" (Tom Lehrer).

If a certain song had been written in C++: Inspired by, but not to
the tune of, _The Marvelous Toy_ (Tom Paxton).   

The Pi Proof of Penzance: "I am the very model of a modern major general" 
from _The Pirates of Penzance_ (William Schwenck Gilbert and Arthur Seymour
Sullivan).

Pied-Throned Deathless Aphrodite: In the strophic structure, but not
the meter, of the "Hymn to Aphrodite" (Sappho of Mytilene), of which
it is a translation.

The Witch of Agnesi (of Unit Height): "The Witch of the Westmoreland"
(Archie Fisher)

Banned from Aleph: "Banned from Argo" (Leslie Fish).

Commutative Algebra 101: The epic poem "Green Eggs and Ham" (Theodor
Seuss Geisel).

Red and Beer: "Red and Black" from _Les Miserables_ (Alain Boublil and 
Claude-Michel Schonberg).

Try to Remember (a song for Guy Fawkes Day): "Try to Remember" from
_The Fantasticks_ (Tom Jones and Harvey Schmidt).