Provided herein are methods for a novel bead-based next-generation “X-aptamer” selection scheme that extends aptamer technology to include X-modified bases, thus resulting in X-aptamers, at any position along the sequence because the aptamers are chemically synthesized via a split-pool scheme on individual beads. Also provides are application to a wide range of commonly used DNA modifications, including, but not limited to, monothioate and dithioate backbone substitutions. This new class of aptamer allows chemical modifications introduced to any of the bases in the aptamer sequence as well as the phosphate backbones and can be extended to other carbohydrate-based systems.