| Peak | Song | Entered | Wks | Annual |
|---|---|---|---|---|
| 1 | Help with Nanninonu | 5 Mar 1989 | 5 | 1989 #18 |
| 2 | It Ain't What You Do (It's the Way That You Do It) with Fun Boy Three | 8 Mar 1982 | 10 | – |
| 3 | I Heard a Rumour | 9 Aug 1987 | 8 | 1987 #32 |
| 4 | Na Na Hey Hey Kiss Him Goodbye | 14 Mar 1983 | 10 | – |
| 4 | Venus | 6 Jul 1986 | 8 | 1986 #22 |
| 6 | Cruel Summer | 1 Aug 1983 | 9 | – |
| 6 | Love in the First Degree | 6 Dec 1987 | 7 | – |
| 6 | Long Train Running | 12 May 1991 | 8 | – |
| 8 | Robert De Niro's Waiting | 8 Apr 1984 | 5 | – |
| 8 | Nathan Jones | 4 Dec 1988 | 5 | – |
| 9 | I Want You Back | 8 May 1988 | 5 | – |
| 10 | Movin' On | 1 Sep 1992 | 5 | – |
| 11 | Preacher Man | 10 Feb 1991 | 4 | – |
| 12 | Really Saying Something with Fun Boy Three | 10 May 1982 | 7 | – |
| 12 | Shy Boy | 9 Aug 1982 | 8 | – |
| 19 | I Can't Help It | 7 Feb 1988 | 3 | – |