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Here are websites for fiddle tunes in standard notation, midi/soundfiles, abcs, and also lyrics to songs. The country/type of tune is also noted, where appropriate.

If you'd rather, you can go to seperate pages for music in standard notation or music your computer can play or lyrics sites, if you want to know the words. And of course there's a page for tunes in ABC notation.   What are ABCs?

SITE ABC SOUND NOTATION LYRICS ORIGIN
Airs, Ballads, Ditties, Folksongs, Hymns and War Songs  *** *** 
Alan Ng's transcriptions ***    
Allen's Music & MIDI Page  ***   
American History in Song    *** 
Ancient Music of Ireland  ***   
Australian Dance Music in abc ***    
Basset Street Hounds tunes ***    
Bernie Stocks' Music Page ***    
Blackshade's MIDIs  ***   
Bodleian Library Broadside Ballads    *** 
Bruce Olson's Web Site ***    
Bruce Olson's Scarce Songs Part I and Part II    *** 
The Carp Camp Tunes  ******  
SITE ABC SOUND NOTATION LYRICS ORIGIN
The Ceili House Band ***    
Celtic MIDI pages  ***   
The Ceolas tune archive ***    
Chris Falt's fiddle tunes ***    
Chris Ricker's Fiddle Page *********  
Chris Walshaw's ABC home page ***    
The Civil War Music Site   ****** 
Cranford Publications abc tunes ***    
Dan Mozell's Music Files   ***  
The Dancing Master 1651-1728   ***  
The Digital Tradition ***  *** 
DigitalMuse Australian Folk Songs    *** 
Ed and Carol's Old Time MIDI Archive  ***   
SITE ABC SOUND NOTATION LYRICS ORIGIN
Ed Baggot's Fiddle Tune Transcriptions   ***  
English Dance Tunes - Playford, Apted, etc ***    
The English Dancing Master by John Playford (1651) ***    
Fiddle Fingers: Fiddle Tunes  ******  
Fiddle Fingers: Irish Tunes  ******  
Fiddle Fingers: Scottish Tunes  ******  
Fiddle Fingers: Swedish Tunes  ******  
Fiddle Tunes from the Middle of Sweden ***    
Folk music of England, Scotland, Ireland, Wales and America  *** *** 
Folk Songs of the World  *** *** 
Folksongs of the World    *** 
Geoff Grainger's Index to Folk Music  ********* 
Le Grand Session de Manchester ***    
Hamish Davidson's MIDI Archive  ***   
Henrik Norbeck's ABC tunes ***    
SITE ABC SOUND NOTATION LYRICS ORIGIN
The Henry Reed Collection at the Library of Congress   ***  
Historic American Sheet Music   ***  
History in Song  ***   
Ireland Trad  ***   
Irish Folk Song lyrics and searchable index    *** 
JC's ABC Tune Finder ***    
J. Garber's 19th Century Tunes (many waltzes!)   ***  
Jack Campin's tunes *** &