I have been meaning to get the CD carrie mentioned. I just ordered it from OssianUSA.
Maybe I’ll get an email saying it’s out of print and out of stock, but so far it looks like they still have it.

http://www.ossianusa.com/Merchant2/merchant.mv?Screen=PROD&Store_Code=ossian&Product_Code=00541-CD
Caroluna, I have just copied my recommendations from other times I responded to this question. So my comments aren’t aimed at you and they may sound odd. I haven’t checked the links I put for places you can order the CD. I’m not sure why I ever put them in really. I would shop around if I were you. Prices can really vary, especially depending on postage. So ignore my links to music shops.

SEOLTAI SEIDTE - SETTING SAIL - FORTY-THREE HISTORIC RECORDINGS
"The Irish label Gael-Linn is celebrating its Golden Jubilee and has commemorated the event with the release of this magnificent collection, comprising all the recordings (43 in all) which the label released on twenty 78rpm discs between 1957 and 1961. Remastered to perfection by Harry Bradshaw, this collection is presented on two CDs, in a handsome DVD-style box, with a 96-page companion booklet authored by Irish Traditional Music Archives head Nicholas Carolan. The booklet, almost a book really, contains the detailed story of how the original records came to be made, comprehensive notes on all the performers and on each track, in particular with the full lyrics in Gaelic and English translation of the sean-nos songs which constitute about half the recordings. "
http://celticgrooves.homestead.com/CG_Various_Seoltai_Seidte.html
This is the CD set I got that introduced me to many of the old time musicians. The sound quality is excellent, no worries about it being from older recordings. The instrumental performances are on all the traditional instruments and are all solos by some of the greatest musicians. They are playing dance tunes and slow airs. Alternating between each instrumental track is a sean-nos track. The sean-nos (it means “old way” I think) style of singing is very, very different from anything I had heard. At first I did not like it. I decided not to “try” to like it, but I played these two CD’s every night after I went to bed and just let my ears get used to the style of singing. After a while I started to really love the songs. I’m just telling you this because it is such an important part of the music to be exposed to and learn about but it might take getting your ear accustomed to because it is so different and you could feel a little shocked and disappointed the first time you listen to this singing. But I would really recommend that you listen to it in a relaxed (not straining to “get” it) and undistracted way over and over to allow your ears to get used to the sounds.
http://www.mustrad.org.uk/reviews/r_index.htm
I’ll second the nomination for kitty lie over.

MICK O’BRIEN & CAOIMHIN O’RAGHALLAIGH: KITTY LIE OVER
Mick O’Brien: uilleann pipes, tinwhistle
Caoimhin O’ Raghallaigh: fiddle, tinwhistle
"kitty lie over is the new album from Mick O’Brien and Caoimhín Ó Raghallaigh.
It contains 15 tracks of traditional music from Ireland on uilleann pipes, fiddle and whistles. "
http://www.kittylieover.com/
I just love this CD. It is pretty new but very traditional. There are times when you almost go crazy, it is so exciting. I’m not a very good record reviewer ! You can hear some sounds clips at the above website.

DENIS MURPHY & JULIA CLIFFORD: THE STAR ABOVE THE GARTER
Denis Murphy: fiddle
Julia Clifford: fiddle
“Classic recording of this brother-and-sister duet, whose names are synonymous with the Kerry-Cork Sliabh Luachra tradition. Many of the tunes played here, in particular the polkas and slides, are typical of the local repertoire and have become well known through this and other recordings featuring Murphy, Clifford, and their famous teacher Padraig O’Keeffe.”
http://celticgrooves.homestead.com/CG_Murphy_Clifford_Star.html
I learned about this CD from the notes to kitty lie over. It is a re-issue of a recording made in 1969. I think the CD cover is quite unfortunate myself, but the fiddle music is very wonderful. It was different than I was expecting. I think because what I have heard is mostly music that has been altered to suit more modern audiences or something—I’m not sure. Anyway, the music on this CD is sort of complicated or complex, not sure how to describe it. Every time you listen you hear something new or you start to understand something a little better. And the two fiddles seem to do different things sometimes and the same thing other times. It will stay interesting for many, many listenings.
http://www.mustrad.org.uk/reviews/r_index.htm

Tobar an Dúchais
Brid O’Donohue: whistle
“The music on the CD was selected for it’s associations with the people Bríd learned from, in that sense it’s a very personal recording, here she plays the tunes learned when growing up. It is often said Irish traditional music is the music of people and places.”
http://www.bridodonohue.com/tobar_main.php
I do have this CD and it is very wonderful. You can go to the above website and hear some sound clips from it. They are toward the bottom of the page, so just scroll down.
http://www.mustrad.org.uk/reviews/r_index.htm

IRELAND’S WHISTLING AMBASSADOR
Micho Russell: whistle
“Ever since the earliest days of the folk revival in Ireland, people have been visiting the tiny village of Doolin in Co. Clare to hobnob with the celebrated Russell family, purveyors of a vast repertoire of tradional songs and music. Not least among them was the legendary Micho: singer, flutist, whistle player, raconteur, joke teller and altogether a unique individual. Here’s the first and only digital recording of one of Ireland’s singular treasures.”
http://www.elderly.com/also/recordings/items/PWP80001.htm
I don’t have this CD yet but I have seen it mentioned many times as one of the best whistle CD’s.
http://www.mustrad.org.uk/reviews/r_index.htm

“This CD catches the musical understanding that Kitty and Peter share with one another. The music is stately and relaxed at the same time. It eschews flashiness totally and gets under the skin of the tunes, a conversation between friends, never an argument or a race. If you wish to hear Clare music as it should be played, you will be hard-pressed to find a better example.” Tom Munnelly
http://www.theyllbegoodyet.com/index.php
This CD is just as the description says. The music just bounces along. It is not rushed—you can actually follow the tunes and hear what is going on. It is really sort of a relief to the mind to hear it—hard to describe really.
http://www.mustrad.org.uk/reviews/k_hayes2.htm

RONAN BROWNE & PETER O’LOUGHLIN: TOUCH ME IF YOU DARE
Ronan Browne: uilleann pipes, flute
Peter O’Loughlin: flute, fiddle
Maeve Donnelly: fiddle
Geraldine Cotter: piano
“A sequel to Browne and O’Loughlin’s great “South West Wind,” this is perhaps even better. 23 tracks of heavenly “pure drop” traditional music, mostly well-known tunes, but played with great style, at an easy pace, and with that richness of the flat instruments the musicians use–Browne plays pipes pitched in B and a a Bb flute, while O’Loughlin plays B and Bb fiddles as well as an Eb flute. Just gorgeous.”
I have this CD as well as “South West Wind”. It seems like I liked one of them better, but I’m really not sure. I’d say both are great.
http://www.mustrad.org.uk/reviews/r_index.htm