RTE (Radio Telefis Eireann) is the national broadcaster in Ireland, still state owned last time
I checked. Radio 2, the pop radio station launched in 1979, also released some records.
The discography is incomplete. As far as I can tell, the first release was RTE 50.
Some early titles appear to be much more difficult to locate than others, particularly #50 and #52.
RTE Discography All are LP releases unless otherwise stated. RTE 50 v/a - Voices of Radio '26-'76 [1977] co-release with EMI Records (EMIS 102). historical recordings RTE 51 Patricia Cahill - Songs from the RTE Series [1977] RTE 52 Cotton Mill Boys - 16 Songs from their RTE Series [1978] RTE 53 Pope John Paul II In Ireland LP [1979] licensed for USA release by Peters Int'l (PLD 2050) Papalmania hits Ireland RTE 54 Young People of Ireland: I Love You. Mass for Youth celebrated by Pope John Paul II at Galway [1979] A 'love in' Galway style RTE 55 The Visit Of Pope John Paul II To The Shrine Of Our Lady Of Knock LP [1980] More katlick mass hysteria RTE 56 Dermot Troy (tenor) - Songs to Remember [1979] with the Radio Eireann Light Orchestra conducted by Dermot O'Hara RTE 57 RTE Concert Orchestra (conducted by Proinnsias O'Duinn) - Seóirse Bodley: Ailliliú na Gamhna (1956) [1980] RTE 58 v/a - My Ireland [1981] 12 songs from the TV series from Red Hurley, Brendan Shine, Sandie Jones, Jim Mccann, Tony Kenny, Johnny Mcevoy. RTE 59 v/a - Christy Moore and Friends [1981] RTE 60 v/a - Country Star Time Vol. 1 [1981] RTE 61 RTE Symphony Orchestra et al (conducted by Colman Pearce) - Two Irish Symphonies [1981] Seóirse Bodley: Symphony No. 3 (1980), A.J.Potter - Sinfonia De Profundis RTE 62 Frank Patterson - Ireland's Favourite Tenor 2xLP [1982] RTE 63 v/a - Non Stop Pop [1982] RTE 64 Eamon de Valera 1882-1975 - His Recorded Voice 2xLP [1982] foc historical recordings RTE 65 v/a - Country Star Time Vol. 2 [1982] RTE 66 v/a - Festival Folk, Vol. 1 [1982] with Stockton's Wing, Na Casaidigh, etc. RTE 67 RTE 68 Jim McCann - Live [1982] RTE 69 v/a - Non Stop Pop Vol.2 [December 1982] RTE 70 V/A - The Best Of Sounds Promising LP [1983] RTE 71 The Fureys and Davey Arthur - In Concert LP/CD RTE 72 Johnny McEvoy - In Concert LP [1982] RTE 73 Brendan Shine - Rose of Castlerea RTE 74 Dubliners - 21 Years On [1983] RTE 75 Bosco Sings - This Is Where I Live [1983] RTE 76 Makem & Clancy - At The National Concert Hall Live [1983] RTE 77 v/a - Festival Folk, Vol. 2 RTE 78 Paddy Reilly - Live RTE 79 Barry Devlin - Breaking Star Codes [1983] co-release Starcode Records, distributed by WEA RTE 80 The Morrisseys - On Stage [1984] RTE 81 RTE 82 Geraldine O'Grady - Encore [1984] co-release CBS Records RTE 83 Gay Byrne - The Humors of John Sheridan [198?] spoken word RTE 84 RTE 85 RTE 86 v/a - Festival Folk, Vol. 3 [1983] RTE 87 RTE 88 RTE Concert Orchestra et al (conducted by Proinnsias O'Duinn) - Cork 800 [1985] RTE 89 Mike Murphy - Murphy Dogs and Doggerel [1985] comedy RTE 90 Napper Tandy - Live LP [1985] RTE 91 Dublin City Ramblers - In Concert LP RTE 92 v/a - Radio 2 Presents In Concert LP RTE 93 RTE 94 Brendan Grace - Two Sides of Grace LP/CD [198?] comedy RTE 95 RTE 96 John MacNally with the RTE Concert Orchestra - An Evening In Ireland With LP [198?] released on MCA Records, taken from RTE broadcast from NCH RTE 97 Tony Stevens - To All The Girls I've Diddled Before [198?] co-release CMR, taken from RTE broadcast 'Tony Stevens At The Opera House Cork' RTE 98 v/a - Tommy's Choice [1986?] tracks selected by Tommy O'Brien celebrating 60 years of Irish radio & 50 years of EMI Ireland. Co-release EMI. RTE 99 RTE 100 Bernadette Greevy - Love's Shining Circle. Bernadette Greevy Sings The Melodies Of Thomas Moore LP Accompanist: Havelock Nelson [1987] with lyric sheet RTE 101 RTE 102 RTE 103 Jim Fahy - Looking West (interviews from the radio programme) (cassette only?) RTE 104 RTE 105 RTE 106 RTE 107 RTE Symphony Orchestra, Bernadette Greevy - Mahler [1987] co-release K-Tel Records RTE 108 v/a - Tommy's Encore [1987] see RTE 098 RTE 109 RTE Concert Orchestra - RTE Greatest Themes RTE 110 RTE 111 RTEMC 112 v/a - Clare and Kerry (collected by Ciarán Mac Mathúna) RTEMC 113 v/a - Galway and Limerick (collected by Ciarán Mac Mathúna) RTEMC 114 Donncha Ó Dulaing - Donncha's Historical Marches 2xK7 [1988] spoken word RTEMC 115 The Séamus Ennis Story (4-part radio documentary series) 2xK7 [1988] RTE 116 RTE 117 RTE 118 v/a - Harmony The Rehab Album LP RTE 119 RTE 120 RTE 121 RTE 122 RTE 123 RTEMC 124 Larry Redican RTE 125 RTE 126 RTE 127 RTECD 128 v/a - Céilí House Saturday Night RTE 129 RTE 130 RTE 131 RTE 132 RTE 133 RTECD 134 Mary Black - The Best Of Mary Black LP/CD [1990] co-release Dara RTE 135 RTEMC 136 Zig And Zag - The Christmas No. 1 cassingle [1990] same track both sides RTE 137 RTE 138 RTE 139 RTE 140 RTE 141 RTEMC 142 Scrap Saturday - The Tapes [1990] Dermot Morgan et al RTE 143 RTE 144 Paddy Reilly - Gold & Silver Days 2xLP [1991] RTECD 145 Frankie Gavin, Charlie Lennon & the RTÉ Concert Orchestra - Island Wedding RTE 146 RTEMC 147 Zig And Zag - Zigzaggin' CASSETTE [1991] RTECD 148 Zig And Zag - Never Mind The Zogabongs Here's Zig And Zag CD/K7 [1991] RTE 149 RTE 150 RTE 151 RTE 152 RTE 153 RTE 154 RTE 155 RTE 156 RTECD 157 The Dubliners - Thirty Years a-Greying RTECD 158 v/a - A Woman's Heart [1993] RTE 159 RTE 160 RTECD 161 v/a - Blas [1993] RTE 162 RTE 163 RTEMC 164 The Plough and the Stars (1949 broadcast of O'Casey's play) RTE 165 RTECD 166 Don Baker - No Nonsense RTE 167 RTE 168 RTECD 169 v/a - Céilí House on the Road ‘93 RTE 170 RTECD 171 v/a - Trad At Heart [1993] RTE 172 RTE 173 RTECD 174 Pádraig O'Keeffe - The Sliabh Luachra Fiddle Master RTE 175 RTE 176 RTE 177 RTECD 178 Róise na nAmhrán - Songs of a Donegal Woman [1994] RTE 179 RTE 180 RTE 181 RTE 182 RTECD 183 Denis Murphy - Music from Sliabh Luachra RTE 184 RTECD 185 v/a - Amhrain Ar An Sean-Nós RTE 186 RTECD 187 Frankie Gavin - The Best of ... CD RTECD 188 The President Own U.S. Marine Band - s/t CD RTECD 189 v/a - Réalta: An Dreoilin RTE 190 RTECD 191 v/a - Touch of the Master's Hand (extracts from Ciarán Mac Mathúna's radio programme) RTECD 192 v/a - Réalta: An Ronnach RTECD 193 v/a - Réalta ‘96 RTE 194 RTE 195 RTECD 196 v/a - The Donegal Fiddle RTE 197 RTE 198 RTECD 199 Séamus Ennis - The Return from Fingal [1997] RTE 200 RTE 201 RTECD 202 Monks of Glenstal Abbey - Gregorian Chants [1997] co-release Aínm Records (RZ CD0089) RTECD 203 v/a - Réalta 97 RTECD 204 v/a - Togha agus Rogha (double CD) RTECD 205 Na Casaidigh - Óró Na Caisidigh: Songs of Our Childhood RTE 206 RTECD 207 v/a - Buaiteoirí Chorn Uí Riada RTE 208 RTECD 209 v/a - Who Fears to Speak (1798) RTECD 210 v/a - Gael Force CD [1997] live recordings, including Altan and De Dannan (K7: RTE MC 210) RTE 211 RTE 212 RTE 213 RTECD 214 v/a - Réalta 98 [1998] RTE 215 RTE 216 RTE 217 RTE 218 RTE 219 RTE 220 CDHBRTE 221 Dónal Lunny - Coolfin CD [1998] issued in conjunction with Hummingbird; also on K7 RTECD 222 Sharon Shannon - Spellbound - The Best Of Sharon Shannon CD [1998] RTECD 223 Sinead Lohan - No Mermaid [1998] RTE 224 RTECD 225 Elizabeth Crotty - Concertina Music from West Clare [1999] RTE 226 RTE 227 RTECD 228 v/a - Réalta 99 [1999] RTE 229 RTE 230 RTECD 231 Mick O'Brien - The Ancient Voice of Ireland [1999] RTECD 232 Máirín Fahy - Máirín [1999] issued in conjunction with Torc RTECD 233 Danny O'Donnell - On tSean Am Anall [2000] RTECD 234 Labhrás Ó Cadhla - Amhráin ó Shliabh gCua [2000] RTECD 235 v/a - Réalta [2000] RTE 236 RTE 237 RTE 238 RTE 239 RTECD 240 v/a - Ceol Reoite. Music for the Millenium [2000] RTECD 241 v/a - Réalta [2001] RTECD 242 Cháit Ní Mhuimhneacháin - An Joga Mór: Sean-Nós Singing from County Cork [2001] RTE 243 RTECD 244 v/a - Radio Days CD RTECD 245 Donncha O'Dualaing - Summer Journey RTE 246 RTE 247 RTECD 248 Niall Toibín*, Oscar Wilde, Oliver Goldsmith - The Ballad Of Reading Goal CD [2002] RTECD 249 Dermot Morgan et al - Scrap The Collection 4xCD RTE 250 RTE 251 RTE 252 RTECD 253 v/a - Blasket Island Reflections : RTECD 262 Brian Merriman - Cuirt An Mheon-Oiche And The Appeal Of ... RTECD 266 v/a - Ten Years of Céilí House RTECD 271 Samuel Beckett - Three Novels spoken word 18xCD [2006] RTECD 287 v/a - A Murray Christmas RTECD 290 v/a - A Murray Christmas 2 CD [2014] RTE Radio 2 Discography DG 1 Gram Blaster Flash - Birthday Rapping / Birthday Rapping 7" [1984] (PS) Released to commerate the RTE Radio 2 Fifth Birthday 31 May 1984 MRS 4 v/a - Street Carnival Rock EP 7" [1986] (PS) RTE Radio 2/Hot Press co-release, actually given a Mystery Records (WEA) catalogue number Funduireacht an Riadaigh/RTE FR001/002/003 Sean O'Riada - Our Musical Heritage 3xLP [1981] Boxset with booklet consisting of the original 1962 radio series presented by Sean O'Riada.