The Edge from U2 makes great use of delay effects to create his trademark sound. He has used at least several dozen pedals over the years, the most notable being his Korg SDD-3000s, although focusing on just one model is hard. Another pedal used by the Edge which caught the eye of many fans is an MXR Carbon Copy, which was used in one of his documentaries.
His delay settings are probably more important than the actual pedals since he might be using one over another depending on different scenarios. What is constant is his use of real delays with delay times between 150 and 550ms.