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Disc One: All Their Greatest Hits 1991-2001 is a compilation album by Barenaked Ladies, released on November 13, 2001 by Reprise Records. It was the band's first official hits compilation (the second being 2011's Hits from Yesterday and the Day Before) and compiles most of the band's singles up to that point, with the exception of "Alcohol", "A", "Life, in a Nutshell" and "Break Your Heart". It also includes two new songs, "It's Only Me (The Wizard of Magicland)" and "Thanks That Was Fun".
The album's liner notes include short blurbs by Steven Page for each song, relating various details and anecdotes.
|#||Song||Originally appeared on||Notes|
|1||The Old Apartment||Born on a Pirate Ship||This is the single mix of the song with the extended instrumental intro edited out.|
|2||Falling for the First Time||Maroon|
|3||Brian Wilson||Rock Spectacle||This is the live version from Rock Spectacle, though the song originally appeared on Gordon.|
|5||Be My Yoko Ono||Gordon|
|6||Alternative Girlfriend||Maybe You Should Drive|
|7||It's Only Me (The Wizard of Magicland)||N/A||First of two original songs for this compilation.|
|8||If I Had $1000000||Gordon|
|9||Call and Answer||Stunt|
|10||Get in Line||King of the Hill sountrack|
|11||It's All Been Done||Stunt|
|12||Jane||Maybe You Should Drive|
|13||Lovers in a Dangerous Time||Kick at the Darkness|
|14||Pinch Me||Maroon||This song version uses the truncated intro of the single version but includes the end guitar solo from the album version.|
|15||Shoe Box||Born on a Pirate Ship / Friends sountrack||This is the radio mix of the song with the instrumental intro.|
|16||What A Good Boy||Rock Spectacle||This is the live version of the song from Rock Spectacle, though the studio version from Gordon was the one released as a single.|
|17||Too Little Too Late||Maroon|
|19||Thanks That Was Fun||N/A||Second of two original songs for this compilation.|
- The compilation's title is a reference to the Gordon track "Box Set", in which the first disc of the titular set is said to be a compilation of all the narrator's greatest hits.
- The band originally did not intend to include both "Be My Yoko Ono" and "Alternative Girlfriend" on the album; they held a straw poll on their website as to which one should be included over the other, and the resulting roughly 50/50 split led to the inclusion of both.
- Two additional new songs were recorded for this compilation: "I Can, I Will, I Do" and "I Don't Get It Anymore". The former was also recorded for 2003's Everything to Everyone but left off the final tracklist, and was finally released in 2006 on Barenaked Ladies Are Me. "I Don't Get It Anymore" was finally released in 2012 on the rarities compilation Stop Us If You've Heard This One Before.