| Cover | | Date
 | Title  Album | Points
 | US peak | UK peak | US dance peak | US rock peak | US alt. peak | Comment |
|---|
| 1. | 1979 | | 1
 | | | 77 dance | | | written by Richard Butler, John Ashton, Roger Morris, Tim Butler, Duncan Kilburn & Vince Ely |
| 2. | 1980 | | 3
 | | | 36 dance | | | |
| 3. | 03/1980 | | 4
 | | 88 UK | | | | written by John Ashton, Tim Butler, Richard Butler, Vince Ely, Duncan Kilburn & Roger Morris |
 | 4. | 05/1981 | | 9
 | | 59 UK | 27 dance | | | charted as Dumb Waiters / Into You Like a Train in US dance charts written by Richard Butler, John Ashton, Roger Morris, Tim Butler, Duncan Kilburn & Vince Ely |
 | 5. | 06/1981 | | 9
 | | 43 UK | | | | written by Richard Butler, John Ashton, Roger Morris, Tim Butler, Duncan Kilburn & Vince Ely |
 | 6. | 07/1982 | | 44
 | 44 US | 42 UK | 40 dance | 30 rock | | charted as Love My Way / Aeroplane in US dance charts written by John Ashton, Tim Butler, Richard Butler & Vince Ely |
| 7. | 03/1984 | | 15
 | | 62 UK | 4 dance | | | written by Richard Butler & John Ashton |
 | 8. | 04/1984 | | 16
 | | 29 UK | | | | written by Richard Butler & Tim Butler |
 | 9. | 05/1984 | | 50
 | 59 US | 68 UK | | 25 rock | | written by Richard Butler & Tim Butler |
 | 10. | 04/1986 | | 37
 | 41 US | 18 UK | | | | [re-recording] written by Richard Butler, John Ashton, Roger Morris, Tim Butler, Duncan Kilburn & Vince Ely |
 | 11. | 10/1986 | | 99
 | 26 US | 79 UK | 14 dance | 11 rock | | [artist #4 hit] written by Richard Butler, John Ashton & Tim Butler |
| 12. | 1987 | | 2
 | | | 30 dance | | | written by Richard Butler, John Ashton & Tim Butler |
| 13. | 01/1987 | | 3
 | | 85 UK | | | | written by Richard Butler, John Ashton & Tim Butler |
 | 14. | 07/1988 | | 150
 | | 75 UK | | | ✫1 alt. | [artist #1 hit] written by Richard Butler, John Ashton & Tim Butler |
| 15. | 11/1989 | | 66
 | | | | | 8 alt. | [artist #5 hit] |
 | 16. | 12/1989 | | 141
 | | 92 UK | | | ✫1 alt. | [artist #3 hit] |
 | 17. | 07/1991 | | 142
 | | | | | ✫1 alt. | [artist #2 hit] written by The Psychedelic Furs  |
| 18. | 10/1991 | | 50
 | | | | | 13 alt. | written by The Psychedelic Furs  |
| Top 100 hits | 4 | 12 | 7 | 3 | 5 | |
| Top 40 hits | 1 | 2 | 6 | 3 | 5 | |
| Top 10 hits | | | 1 | | 4 | |
| ✫ #1 hits | | | | | 3 | |
| US | UK | dance | rock | alt. | |