The following is a list of the IRMA's number-one singles of 1995.
Dates given are the Saturday of publication.
| Issue Date | Song | Artist |
|---|---|---|
| 7 January | Love Me For A Reason | Boyzone |
| 14 January | Think Twice | Celine Dion |
| 21 January | Think Twice | Celine Dion |
| 28 January | Think Twice | Celine Dion |
| 4 February | Think Twice | Celine Dion |
| 11 February | Think Twice | Celine Dion |
| 18 February | Think Twice | Celine Dion |
| 25 February | Think Twice | Celine Dion |
| 4 March | Think Twice | Celine Dion |
| 11 March | Think Twice | Celine Dion |
| 18 March | Don't Stop (Wiggle Wiggle) | The Outhere Brothers |
| 25 March | Back for Good | Take That |
| 1 April | Back for Good | Take That |
| 8 April | Back for Good | Take That |
| 15 April | Key to My Life | Boyzone |
| 22 April | Key to My Life | Boyzone |
| 29 April | Key to My Life | Boyzone |
| 6 May | Key to My Life | Boyzone |
| 13 May | Key to My Life | Boyzone |
| 20 May | Scatman | Scatman John |
| 27 May | Scatman | Scatman John |
| 3 June | Hold Me, Thrill Me, Kiss Me, Kill Me | U2 |
| 10 June | Hold Me, Thrill Me, Kiss Me, Kill Me | U2 |
| 17 June | Hold Me, Thrill Me, Kiss Me, Kill Me | U2 |
| 24 June | Boom Boom Boom | The Outhere Brothers |
| 1 July | Boom Boom Boom | The Outhere Brothers |
| 8 July | Boom Boom Boom | The Outhere Brothers |
| 15 July | Boom Boom Boom | The Outhere Brothers |
| 22 July | Never Forget | Take That |
| 29 July | So Good | Boyzone |
| 5 August | So Good | Boyzone |
| 12 August | Country House | Blur |
| 19 August | Country House | Blur |
| 26 August | Country House | Blur |
| 2 September | Country House | Blur |
| 9 September | Country House | Blur |
| 16 September | You Are Not Alone | Michael Jackson |
| 23 September | Boombastic | Shaggy |
| 30 September | Fairground | Simply Red |
| 7 October | Boombastic | Shaggy |
| 14 October | Boombastic | Shaggy |
| 21 October | When Love & Hate Collide | Def Leppard |
| 28 October | Gangsta's Paradise | Coolio feat. LV |
| 4 November | Gangsta's Paradise | Coolio feat. LV |
| 11 November | Gangsta's Paradise | Coolio feat. LV |
| 18 November | Gangsta's Paradise | Coolio feat. LV |
| 25 November | Father & Son | Boyzone |
| 2 December | Father & Son | Boyzone |
| 9 December | Father & Son | Boyzone |
| 16 December | Father & Son | Boyzone |
| 28 December | Father & Son | Boyzone |
| 30 December | Father & Son | Boyzone |
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