Haand Me Doon da Fiddle - book by Tom Anderson & Pam Swing, with accompanying cassette
PDF of the book (2nd edition 1981) here:
https://web.archive.org/web/20120902171836/http://www.malcolmrutter.pwp.blueyonder.co.uk/hmddf.pdf
Audio of the cassette available here (with track markings)
https://www.youtube.com/watch?v=0D7W1tvmKrg
Silver Bow - Tom Anderson & Aly Bain with Violet Tulloch on piano
This originally was issued as 2 LPs on Topic (and at least the 1st was issued in the US on Philo), later both albums issued on single CD by Topic, minus a couple of tracks.
https://www.youtube.com/playlist?list=OLAK5uy_kl4qq67b27K4o9NVh59lrCcQqhHuBs29I
YouTube: There are few videos of Tom Anderson and Willy Hunter Jr. e.g.
https://www.youtube.com/watch?v=Xq5JBSu5tqY
https://www.youtube.com/watch?v=jzIb1KWBRKY
https://www.youtube.com/watch?v=caFrGTt-drg
(this looks dubbed to a studio recording)
https://www.youtube.com/watch?v=dInOEii29XY
Search for Shetland at the Traditional Tune Archive.
A general search for Shetland at https://thesession.org will turn up some of the recordings mentioned on this page (e.g. Silver Bow, School of Scottish Studies vol 4, etc); on the page for each recording, there are links to the available tunes.
Pat Shuldham Shaw - "A Shetland Fiddler and His Repertoire: John Stickle 1875-1957"
Journal of the English Folk Dance and Song Society, vol. 9, No. 3, Dec. 1962, p. 136
available through JSTOR
The Fiddle Tradition of the Shetland Isles - Peter Cooke
Cambridge Studies for Ethnomusicology
1986
zip file containing PDF scan of the book and MP3 files of what was originally a cassette recording of field recordings that accompanied the book - cassette listing is in Appendix 6 - includes John Stickle playing the Bridal March from Unst.
formerly at:
https://www.ed.ac.uk/information-services/library-museum-gallery/cultural-heritage-collections/school-scottish-studies-archives/archive-pubs/the-fiddle-tradition-of-the-shetland-isles
https://drive.google.com/file/d/1uhcvzSWuVn_I7nVkN2BXVoyvZlfStiu6/view?usp=sharing
Tobar an Dualchais/Kist o Riches
The sound of Scotland's Traditions
Material from three archives: The School of Scottish Studies, The Canna Collection and BBC Radio nan Gàidhea
You can hear lots of source recordings here. For instance, search for John Stickle, Andrew Poleson, or Tom Anderson.
Whalsay's Heritage
http://www.sssa.llc.ed.ac.uk/whalsay/
Song-oriented, but quite a few fiddle recordings of Andrew Poleson scattered around (often on the same page as the lyrics and vocal recordings of a related song), and at least one other fiddler (John (Glibey) Irvine on Woo’d and Married and Aa).
this search will find some (but not all) of the fiddle recordings:
http://www.sssa.llc.ed.ac.uk/whalsay/tag/fiddle/
School of Scottish Studies, University of Edinburgh - Scottish Tradition Series vol 4: Shetland Fiddle Music
A commercially-issued album of source recordings; originally an LP, now on CD and the major streaming services. Unfortunately, it's only about 30 minutes long, and some of the tracks are cut short. I have seen some of the tracks on YouTube, and you can listen to sound samples on this web page:
Kevin Henderson
http://kevinhenderson.co.uk/
He formed the band "Fiddlers' Bid" with Chris Stout, Andrew Gifford and Maurice Henderson and took Aly Bain's place in the Boys of the Lough. Currently lives in Norway and tours with Nordic Fiddlers Bloc. He has also issued at least one solo CD "Fin da Laand Ageen" (with book) and a learning DVD.
He did a number of online concerts and workshops during the early days of the pandemic. Some of these may still be available.
In both cases, the concert slots are still online and available, but I don't think the workshops are.
University of Chicago Folk Festival Feb 2021
https://www.youtube.com/channel/UC4VPguUhaLOiwYJgispvGYQ
Kevin Henderson concert
https://youtu.be/-1pkLYeTETY?t=7513
Northern Roots Vermont Jan 2021
https://bmcvt.org/northern-roots-festival/
Northern Roots concert
https://youtu.be/_qF4Lz-LZSE?t=260
The same video also has Pascal Gemme and Nicholas Williams, Dylan Foley, the Gawler Family, etc.
Ed Perlman's fiddle-online site has a concert and (for a fee) past workshops of Kevin Henderson & Jenna Reid
Most Boys of the Lough recordings include a few Shetland tunes, with either Aly Bain or Kevin Henderson on fiddle.
Curlew: Fiddle music from Shetland and beyond
Davy Tulloch/fd, Veronique Nelson/fd, Dave Jackson/gt,ba
Topic 12TS_435, LP issued 1985
https://www.youtube.com/watch?v=RsMdOEbJkbU&list=OLAK5uy_npKAI4B7nMaTMA1RAmpLkP9q9jF0WpT-o
a lovely recording - I used to listen to this a lot. As near as I can tell, it was never issued on CD, but is available as a digital download:
More info, including a PDF of the liner notes and links to Spotify, Apple Music/iTunes, and Amazon
https://www.topicrecords.co.uk/2010/12/curlew-fiddle-music-of-shetland-beyond-tsdl435/
I have created a Spotify playlist of many of the above recordings
https://open.spotify.com/playlist/50qXCSWJmANzIQV5NIS1RB?si=ef19f7fff772409c
I would suggest starting with the book & cassette set Haand Me Doon da Fiddle mentioned above. Beyond that, here are some video lessons:
Jenna Reid Shetland Fiddle Intermediate Course on YouTube (handsupfortrad) - free. Video quality is not so great (judging from the dates of the downloadable PDF's, these recordings may be from 2006), but not an issue - the sound quality is fine, and the picture quality is good enough for learning.
Ed Perlman's fiddle-online site has workshops of Kevin Henderson, teaching “Minnie Pat Me Tae da Well” & “Da Forefit o’ da Ship” .
Jenna Reid workshops on fiddle-online, teaching Janine's Reel & Sail Her Ower da Raftrees.
Kevin Henderson - DVD How to Play the Shetland Fiddle
The Scottish Music Academy has pre-recorded courses taught by Kevin Henderson and Jenna Reid.
Folk Music Academy (primarily Scandinavian music) has a pre-recorded course taught by Kevin Henderson.
The Shetland Times Bookstore in Lerwick offers various tune books, including Ringing Strings by Tom Anderson and The Music of Willie Hunter.