The Parker four-drawer dresser has finger pulls drilled right into the drawers. They're about 3/4" holes centered in the face of each drawer. This could be done on both cabinet drawers and doors.
A mid-century modern cabinet from Treadway Gallery has elongated cutouts in the drawer fronts that act as pulls. Again, this is like the drilled hole option above but it's a slot for the whole hand. Could be cut out of the top or sides of cabinet doors.
Magnetic touch latches are a way to open doors and drawers with absolutely no visible pull. Press the door/drawer face and it pops open. The drawback: you may end up leaving dirty fingerprints all over the faces of your cabinetry. The system shown here is by Blum and is integral to the drawer glides. The system pictured below (by Surreal Designs) can be mounted to doors and drawers:
See more helpful comments on hardware-less cabinetry in this post, where a reader asked the good question, "How Can My Cabinets and Drawers Open Without Outside Hardware?".