Don't repeat the mistakes of the past - go with EDPM (one big rubber sheet that covers the whole area) or acrylic (a thick, paint-like coating, reinforcing fabric, more coating), not shingles.
The other workable but somewhat out there option would be standing seam or soldered seam metal.
Acrylic can be done in colors. EDPM is generally white or black, chosen by how much air conditioning .vs. heating you do, or the look you prefer.