| Peak | Song | Entered | Wks | Annual |
|---|---|---|---|---|
| 1 | With or Without You | 5 Apr 1987 | 12 | 1987 #4 |
| 1 | Desire | 16 Oct 1988 | 9 | 1988 #13 |
| 1 | Angel of Harlem | 25 Dec 1988 | 8 | 1989 #20 |
| 1 | Discothèque | 18 Feb 1997 | 8 | 1997 #18 |
| 3 | Mysterious Ways | 17 Dec 1991 | 9 | 1992 #40 |
| 3 | Staring at the Sun | 6 May 1997 | 5 | – |
| 4 | I Still Haven't Found What I'm Looking For | 5 Jul 1987 | 5 | 1987 #26 |
| 4 | Where the Streets Have No Name | 20 Sep 1987 | 3 | 1987 #18 |
| 4 | One | 17 Mar 1992 | 5 | 1992 #44 |
| 6 | When Love Comes to Town with BB King | 23 Apr 1989 | 5 | – |
| 7 | The Unforgettable Fire | 19 May 1985 | 7 | – |
| 7 | The Fly | 22 Oct 1991 | 7 | 1991 #32 |
| 7 | Numb | 6 Jul 1993 | 11 | – |
| 8 | Even Better Than the Real Thing | 23 Jun 1992 | 6 | – |
| 8 | Lemon | 21 Sep 1993 | 4 | – |
| 9 | All I Want Is You | 2 Jul 1989 | 5 | – |
| 9 | Hold Me, Thrill Me, Kiss Me, Kill Me | 20 Jun 1995 | 6 | – |
| 17 | Pride (In the Name of Love) | 7 Oct 1984 | 5 | – |
| 19 | Who's Gonna Ride Your Wild Horses | 15 Dec 1992 | 5 | – |
| 22 | New Year's Day | 7 Feb 1983 | 5 | – |
| 22 | Stay (Faraway So Close!) | 7 Dec 1993 | 4 | – |
| 25 | Pop Muzik | 9 Sep 1997 | 3 | – |
| 26 | Last Night on Earth | 5 Aug 1997 | 2 | – |