Gold star, gold wreath. pink center
Gold star, gold wreath. yellow center
Gold star, gold wreath. black center
Gold star, gold wreath. dark blue center
Gold star, gold wreath. light blue center
Gold star, gold wreath. red center
Gold star, silver wreath. pink center
Gold star, silver wreath. yellow center
Gold star, silver wreath. dark blue center
Gold star, silver wreath. red center
Gold star, silver wreath. black center
Red star, gold wreath. black center
Red star, gold wreath. yellow center
Red star, gold wreath. blue center
Red star, gold wreath. pink center
I think that is all of the colour combinations that I have come across.
Some appear to have only been used for 1 season on 1 model, usually an export one
As far as I can make out BSA only supplied 4 combinations as spare parts so if you had one of the unusual badges and it got lost-stolen or broken tough luck.
The same thing seems to have happened with the latter pear shaped badge.
Ditto for the 4" star.