The shiny new Zune HD hits Tuesday (for those in the U.S.), and if you've not already got Amazon delivering one to your door, these coupon codes will save you $43 on the 32GB model (new price: $256.50), and $33 of the 16GB (new price: $187).

Hit up LogicBUY for the code. [LogicBUY Coupons (Zune HD 16GB | 32GB) via Engadget]