The record features tracks inspired by the group, which was formed by Klaus Dinger and Michael Rother after their split from Kraftwerk, The Quietus reports.
Oasis contribute former bonus track 'I Can See It Now', while Primal Scream offer XTRMNTR closer 'Shoot Speed/Kill Light'.
Other bands on the album include Foals, Holy F***, LCD Soundystem and Sonic Youth side-project Ciccone Youth with 'Two Cool Rock Chicks Listening To Neu!'.
Primal Scream's Bobby Gillespie said: "I hope that this album turns more people on to the music of Neu!"
Noel Gallagher added: “My current new favourite German band of all time. Proper tour bus music. Spiritual!!"
Next month, Primal Scream release a cover of Suicide's 'Diamonds, Furcoat, Champagne' to celebrate Alan Vega's 70th birthday.