Ibiza is great for shopping. As well as the fantastic markets, the shops are plentiful with well known chain brands and individual designers.
Head to Eivissa for some serious shopping, within Dalt Vila you can find antiques, modern art and some Ibizan style clothing.
Although not known for it's designer shopping the island has a very laid back style that makes shopping more of a pleasure and certainly a tourist activity that you are likely to want to indulge in...