The Bonzo Dog Band had two dedicated sax players (Rodney Slater and Roger Ruskin Spear), who also played brass when called for. Lead singer Vivian Stanshall played trumpet, among other things.
The had started out as a trad (i.e. Dixieland) jazz band and several of their recordings were in that genre.
The Temperance Seven were successful into the 60s, playing trad jazz.
Soft Machine regularly included brass and saxophone.