Should originated in Austin, Texas, writing, recording, and performing under the name shiFt. Inspired after hearing Lilys In the Presence of Nothing on Slumberland, Marc Ostermeier formed Should together with Tanya Maus and his brother Eric. The unique sound of their first recordings sprang from their unorthodox songwriting and recording technique. Songs were built around guitar phrases recorded onto cassette that were then sampled and looped using an Ensoniq EPS sampler. An overloaded 4-channel mixer was the primary source of disortion. Their debut six song CD-EP on Austin's ND label, 1995's A Folding Sieve, is a shining landmark of the 1990's American shoegazer scene and received a fair share of critical acclaim.

However, limited distribution and an aversion to touring left Should in semi-obscurity. After a 7" on ND in 1997, newly-founded Words On Music released Should's first full length CD, Feed Like Fishes, in late 1998. A wonderfully complicated album of noisy, sedate, and minimal pop songs, Feed Like Fishes falls somewhere between shoegazer, slowcore and postrock. Reviewers offered up artists such as Yo La Tengo, Slowdive, Galaxie 500 and Brian Eno as reference points, but Should's unique sound was apparent.

In 2002 Words On Music re-released A Folding Sieve, doubling the number of tracks of the original EP. Added to the original seven songs are both tracks from a 1997 7" single that featured a version of Jean Paul Sartre Experience's "Own Two Feet," a cover of 18th Dye's "Merger," and four unreleased songs recorded in 1995 and 1996.

Should contributed an odd, loungy instrumental cover of "Outdoor Miner" to Words On Music's 2004 tribute to the seminal Wire song.

In December 2010 Should finished recording their third album, Like a Fire Without Sound, which was released April 26, 2011 on Words On Music.

In November 2011, Captured Tracks kicked off its Shoegaze Archive series with a reissue of A Folding Sieve – both on vinyl and CD. The reissue is different than the 2002 edition on Words On Music. This edition is an essentially complete collection of songs recorded in Austin from 1992-1995 and, as such, contains several previously unreleased tracks. Also released is a limited edition cassette called Resonate that replicates the pre-Folding Sieve cassette released on Whirling Pool in 1993.

The beginning of 2014 will see the release of a new album, The Great Pretend, which will be preceded by the three-song digital single, Down A Notch.