Polymeric materials possess many attractive properties such as high toughness and recyclability. Some possess excellent biocompatibility, are biodegradable, and can provide various bio-functionalities. Proper combination of functional polymers and biomolecules can offer tailored properties for various biomedical applications. This overview article covers three major sections: Applications of Polymeric Structures and Devices, Nanoscale Polymer Fabrication Technologies, and Conclusions and Future Directions.