Hi Alex,
As Matthew says, the RSC Shakespeare Challenge is a great way to link your Arts Award project to English/Drama. You might also want to think about integrating Arts Award into Shakespeare Schools Festival activities - more information on how to link the programmes at www.artsaward.org.uk/ssf. The Lights, Camera, Parliament! film-making competition can provide opportunities to link up with Citizenship/Ethics, Media Studies and Drama too - www.artsaward.org.uk/pes.
Aylesford School structured their Arts Award programme around a product design / pitching project which incorporated literacy, maths, product design and business skills.
Does anyone else have examples of delivery approaches that have incorporated other subject areas?