Hans Ulrik

En tant que leader

• Fusion (Salut, 1988)
• Ulrik/Hess Quartet (Olufsen, 1990)
• Day After Day (Storyville, 1992)
• Strange World (Stunt, 1994)
• Danske Sange (Stunt, 1998)
• Jazz & Mambo (Stunt, 1998)
• Shortcuts Jazzpar Combo 1999 (Stunt, 2000)
• Jazz & Latin Beats (Stunt, 2001)
• Trio (Stunt, 2002)
• Danish Standards (Stunt, 2003)
• Blue & Purple (Stunt, 2004)
• Tin Pan Aliens (Stunt, 2005)
• Tribal Dance (Stunt, 2006)
• Believe in Spring (Stunt, 2007)
• Slow Procession (Stunt, 2009)
• The Adventures of a Polar Expendition (Cowbell Music, 2010)
• The Christmas Song (Stunt, 2013)
• Equilibrium (Stunt, 2013)
• Suite of Time (Stunt, 2015)
• The Meeting (2020), avec Anders Mogensen, Niclas Knudsen et Steve Swallow

En tant que sideman

Avec Eivind Aarset

• Light Extracts (Jazzland, 2001)
• Connected (Jazzland, 2004)
• Sonic Codex (Jazzland, 2007)

Avec Kenneth Bager

• Fragment Eight (Music for Dreams, 2006)
• Fragments from a Space Cadet (Music for Dreams, 2006)
• Fragments from a Space Cadet 2 (Music for Dreams, 2010)
• The Sound of Swing Part 2 (Music for Dreams, 2011)

Avec Jorgen Emborg

• Heart of the Matter (Stunt, 1990)
• Ships in the Night (Stunt, 1993)
• A Circle of Songs (Stunt, 1994)
• Face the Music (Stunt, 1997)
• Emborg's Moonsongs (Stunt, 2005)
• Statements (Gateway Music, 2008)

Avec Jesper Lundgaard

• Celluloid (Music Mecca, 2005)
• Sculpture (Music Mecca, 2007)
• 2016 (Storyville, 2016)

Avec Marilyn Mazur

• Circular Chant (Storyville, 1995)
• Small Labyrinths (ECM, 1997)
• All the Birds Reflecting + Adventurous (Cascade, 2002)
• Daylight Stories (Stunt, 2004)

Avec Caecilie Norby

• Queen of Bad Excuses (Blue Note, 1999)
• Slow Fruit (Copenhague, 2005)
• Arabesque (ACT, 2010)

Avec d'autres

• Babou, For Once in My Life (RecArt Music, 2005)
• Frans Bak, Den Poppede Hone (Olufsen, 1993)
• Frans Bak, Natsange (Stunt, 1999)
• Peter Belli, Ny Dag Pa Vej (CMC, 2001)
• Hanne Boel, Misty Paradise (EMI, 1994)
• Orchestre symphonique national danois, Morricone Duel (EuroArts, 2018)
• Le Big Band de la Radio Danoise, The Impaler (Red Dot Music, 2010)
• Orchestre de la radio danoise, Merry Christmas, Baby (Red Dot Music, 2009)
• Trine Dyrholm, Et Frossent Ojeblik (It's Magic 1988)
• Anders Frandsen, Anders Frandsen (Kavan, 1992)
• Louise Fribo, Dromte Mig en Drom (EMI, 1999)
• Anne Linnet, Pige Traed Varsomt (Pladecompagniet, 1995)
• Jacob Groth, The Boys from St.Petri (Replay, 1991)
• Judy Niemack, New York Stories (Sunnyside, 2018)
• Stig Kreutzfeldt, Der Er Kun En (Rosen, 1987)
• Lill Lindfors, Har Ar Den Skona Sommar (Vierge, 2006)
• Lisa Nilsson, En Jubileumssamling (Columbia/(Sony, 2010)
• Steen Rasmussen, Canta (Stunt, 2018)
• Sinne Eeg, Mads Vinding, Abrikostraeet (Calibré, 2005)
• Santa Cruz, Cruzing (Cowbell Music, 2005)
• Santa Cruz, When the Sun Goes Down (Gateway Music, 2009)
• Lene Siel, Aftenstemning (RecArt Music, 2000)
• Curtis Stigers, One More for the Road (Concord Jazz, 2017)