"quite new," 1560s, from brand (n.) + new. The notion is "new as a glowing metal fresh from the forge" (Shakespeare has fire-new; Middle English had span-neue "brand new," c. 1300, from Old Norse span-nyr, from span "chip of wood," perhaps as something likely to be new-made). Popularly bran-new.
shiny brand-new shoes
branchial
branchio-
brand
Brandenburg
brandish
brand-new
brandy
branks
Brannock device
Branwen
brash