Rimington played with Barry Martyn in 1959. He started to become a professional musician in 1960 when he joined the band of Ken Colyer. He stayed with Ken Colyer until 1965. That year he moved to the United States, and worked with Big Bill Bissonnette's Easy Rider Jazz Band and the very famous December Band. He made some jazz fusion recordings early in the 1970s, but most of his work has been in the New Orleans jazz vein, playing with Louis Nelson, Big Jim Robinson, Chris Barber, Kid Thomas Valentine, Captain John Handy, and others. He has recorded extensively as a bandleader since the early 1960s. Sammy Rimington's main influences were George Lewis on clarinet and Captain John Handy on altosax.
Since 1982 Sammy Rimington has once a year given a concert at Floda Church near the town Katrineholm in Sweden. In the beginning, he was invited by the priest Lars "Sumpen" Sundbom, who was himself a jazz musician. Sammy frequently recorded with and was accompanied on tours by the pianist Jon Marks.
In 2010 Sammy has been doing gigs with heavy metal/fusion/jazz drummer Anders Johansson from HammerFall/Yngwie Malmsteen fame.
- Armarda (1971)
- New Orleans Music (1973)
- New Orleans Christmas
- Exciting Sax
- Watering the Roots
- Everybody's Talkin'
- On Tour with T. Jefferson
- More Exciting Sax
- Reed My Lips
- Live In-Store at the Louisiana Music Factory
- Sammy Rimington Quartet and Doc Houlind
- Visits New Orleans
- At Moose Lodge Hall
- Rarities from the KliKo Collection Vol 1, Vol 2 and Vol 3
- Very Live @ Pakefield with John Petters New Orleans All Stars
- Down In Honky Tonk Town with John Petters New Orleans Allstars (out of print)
- Jazz At Quines (1978)
- Sammy Rimington Plays The Clarinet Of George Lewis (1989)
- Louis Nelson's New Orleans All Stars Live In Japan (1988)
- Live in Switzerland (1983)
- Hymns (2000)
- Live in Switzerland (2011) Sammy Rimington with the Bridge Pipers Jazz Band
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