Weekly Pop Top 30 for June 1, 1996 |
| LW | TW | peaks: | rock | pop |
| 3 | 1 | Sweet Dreams | ▲ |
| La Bouche |
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| 2 | 2 | Give Me One Reason | 1 |
| Tracy Chapman |
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| 1 | 3 | Insensitive | 1 |
| Jann Arden |
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| 8 | 4 | Fastlove | 3 |
| George Michael |
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| 14 | 5 | Theme From Mission: Impossible | 7 | ▲ |
| Adam Clayton & Larry Mullen |
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| 7 | 6 | Killing Me Softly | 1 |
| Fugees Featuring Lauryn Hill |
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| 6 | 7 | Old Man & Me (When I Get To Heaven) | 25 | 4 |
| Hootie & The Blowfish |
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| 12 | 8 | You Learn | 8 | 1 |
| Alanis Morissette |
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| 9 | 9 | Tha Crossroads | ▲ |
| Bone Thugs-N-Harmony |
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| 5 | 10 | Count On Me | 5 |
| Whitney Houston And CeCe Winans |
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| 4 | 11 | Everything Falls Apart | 4 | 2 |
| Dog's Eye View |
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| 20 | 12 | You're The One | 10 |
| SWV |
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| 18 | 13 | Who Will Save Your Soul | 21 | 4 |
| Jewel |
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| 10 | 14 | Because You Loved Me | 1 |
| Celine Dion |
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| 13 | 15 | The Earth, The Sun, The Rain | 8 |
| Color Me Badd |
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| 19 | 16 | Mother Mother | 1 | 14 |
| Tracy Bonham |
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| 28 | 17 | MacArena (Bayside Boys Mix) | 1 |
| Los Del Rio |
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| 11 | 18 | Always Be My Baby | 1 |
| Mariah Carey |
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| - | 19 | You're Makin' Me High | 1 |
| Toni Braxton |
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| 26 | 20 | Flood | 5 | 18 |
| Jars Of Clay |
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| 16 | 21 | Champagne Supernova | 1 | 13 |
| Oasis |
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| 21 | 22 | Woo-Hah!! Got You All In Check | 20 |
| Busta Rhymes |
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| 24 | 23 | Nobody Knows | 1 |
| The Tony Rich Project |
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| 17 | 24 | Ironic | 1 | 1 |
| Alanis Morissette |
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| 29 | 25 | Love Don't Live Here Anymore | ▲ |
| Madonna |
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| 23 | 26 | Machinehead | 1 | 16 |
| Bush |
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| 15 | 27 | Closer To Free | 12 | 2 |
| BoDeans |
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| - | 28 | Pretty Noose | 1 | 24 |
| Soundgarden |
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| - | 29 | Here In Your Bedroom | 4 | ▲ |
| Goldfinger |
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| - | 30 | Children | 7 |
| Robert Miles |
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| Prior Week | Next Week |