The full-length Some Best Friend You Turned Out to Be followed in 2000 on Domino. Rapturously received, 2002's Mastered by Guy at the Exchange marked the first appearance of vocals in Tundra's music, sporting a dozen warped pop songs - all with six-letter titles - sung either by Max himself or his sister, Becky Jacobs, later a member of the folktronic group Tunng.
He was conspicuously quiet for the next half decade, only infrequently releasing new material, including remixes for Franz Ferdinand, Architecture in Helsinki, the Futureheads, Pet Shop Boys, Missy Elliott and The Strokes, but he re-emerged in 2008 with his latest full-length, Parallax Error Beheads You, so painstakingly intricate that it's not surprising it took six years to complete. Parallax featured his most polished, pop-oriented compositions to date, without sacrificing any of the frenetic giddiness, control-freak complexity, or visionary strangeness of his earlier work.
In 2015 he wrote and produced the comeback single for noughties poppers Daphne and Celeste, entitled You And I Alone.