| Cover | | Date
 | Title  Album | Points
 | US peak | UK peak | US rock peak | US alt. peak | Comment |
|---|
| 1. | 06/1987 | | 3
 | | 86 UK | | | written by Bobby Gillespie & Jim Beattie |
| 2. | 09/1987 | | 3
 | | 86 UK | | | written by Bobby Gillespie & Jim Beattie |
| 3. | 08/1989 | | 2
 | | 97 UK | | | written by Bobby Gillespie, Andrew Innes & Robert Young |
| 4. | 03/1990 | | 66
 | | 16 UK | | 19 alt. | [artist #4 hit] written by Bobby Gillespie, Andrew Innes & Robert Young |
| 5. | 08/1990 | | 73
 | | 26 UK | | 13 alt. | [artist #3 hit] written by Bobby Gillespie, Andrew Innes & Robert Young |
| 6. | 06/1991 | | 10
 | | 40 UK | | | written by Bobby Gillespie, Andrew Innes & Robert Young |
| 7. | 08/1991 | | 8
 | | 41 UK | | | written by Bobby Gillespie, Andrew Innes & Robert Young |
| 8. | 10/1991 | | 195
 | | 11 UK | 28 rock | 2 alt. | [artist #1 hit] written by Bobby Gillespie, Andrew Innes & Robert Young |
| 9. | 03/1994 | | 121
 | 107 US | 7 UK | 29 rock | 16 alt. | [artist #2 hit] [Sire 18189] written by Bobby Gillespie, Andrew Innes & Robert Young |
| 10. | 06/1994 | | 16
 | | 29 UK | | | written by Bobby Gillespie, Andrew Innes & Robert Young |
| 11. | 12/1994 | | 7
 | | 49 UK | | | written by Bobby Gillespie, Andrew Innes & Robert Young |
| 12. | 05/1997 | | 41
 | | 8 UK | | | written by Bobby Gillespie, Andrew Innes, Robert Young, Martin Duffy & Gary 'Mani' Mounfield |
| 13. | 06/1997 | | 28
 | | 16 UK | | | written by Bobby Gillespie, Andrew Innes, Robert Young & Martin Duffy |
| 14. | 10/1997 | | 27
 | | 17 UK | | | written by Bobby Gillespie, Andrew Innes, Robert Young & Martin Duffy |
| 15. | 02/1998 | | 3
 | | 85 UK | | | [limited edition] written by Bobby Gillespie, Andrew Innes, Robert Young & Martin Duffy |
| 16. | 11/1999 | | 21
 | | 22 UK | | | written by Primal Scream  |
| 17. | 04/2000 | | 20
 | | 24 UK | | | written by Primal Scream & M. Nelson |
| 18. | 09/2000 | | 12
 | | 34 UK | | | written by Primal Scream  |
| 19. | 08/2002 | | 21
 | | 25 UK | | | written by Primal Scream  |
| 20. | 11/2002 | | 7
 | | 44 UK | | | written by Primal Scream  |
| 21. | 11/2003 | | 8
 | | 44 UK | | | with Kate Moss written by Lee Hazlewood |
 | 22. | 05/2006 | | 59
 | | 5 UK | | | [artist #5 hit] written by Robert Young, Bobby Gillespie, Andrew Innes, Martin Duffy, Gary 'Mani' Mounfield & Darrin Mooney |
 | 23. | 08/2006 | | 9
 | | 40 UK | | | |
| Top 100 hits | | 23 | 2 | 4 | |
| Top 40 hits | | 15 | 2 | 4 | |
| Top 10 hits | | 3 | | 1 | |
| US | UK | rock | alt. | |