Engagement ring styles for 2013 emphasize uniqueness, creativity, and elegance, following trends from 2012. Notable styles include halo rings, big solitaires, vintage designs, and the rise of rose gold; celebrities also influence trends with their distinct engagement rings. Popular cuts this year are emerald, cushion, oval, and pear cuts, with settings like double halo and bezel gaining popularity, alongside the ethical choice of conflict-free diamonds.