| Peak | Song | Entered | Wks | Annual |
|---|---|---|---|---|
| 1 | Nothing Compares 2 U | 11 Feb 1990 | 9 | 1990 #1 |
| 6 | Thank You for Hearing Me | 29 Nov 1994 | 5 | – |
| 10 | Mandinka | 28 Feb 1988 | 6 | – |
| 10 | You Made Me the Thief of Your Heart | 12 Apr 1994 | 5 | – |
| 13 | This Is To Mother You | 27 May 1997 | 7 | – |
| 18 | Fire on Babylon | 13 Sep 1994 | 6 | – |
| 22 | The Emperor's New Clothes | 26 Aug 1990 | 1 | – |
| 28 | My Special Child | 23 Jun 1991 | 2 | – |
| 28 | Haunted with Shane McGowan | 16 May 1995 | 2 | – |