High-fidelity aerodynamic shape optimization based on the Reynolds-averaged Navier-Stokes equations is used to optimize the aerodynamic performance of conventional and blended wing-body (BWB) aircraft for a range of aircraft sizes from regional to wide-body classes. Trim-constrained drag minimization is performed, with optimized conventional tube-and-wing (CTW) designs serving as performance references. First, a set of 'classically' shaped BWB configurations are optimized across the range of classes. The classically shaped regional and narrow-body-class BWBs offer only a marginal fuel-burn benefit relative to the equivalent conventional designs. The wide-body-class BWB offers up to 10.9% lower fuel-burn than the equivalent CTW. Exploratory optimizations with significant geometric freedom are then performed, resulting in a set of novel shapes with a more slender lifting fuselage and distinct wings. Based on these exploratory results, new lifting-fuselage configurations (LFCs) are designed. The slenderness of the LFC fuselage decreases with aircraft size, such that, for the largest class, the LFC reduces to a classical BWB shape. Due to their lower weight and higher aerodynamic efficiency, the LFC designs burn 6.1% and 9.7% less fuel in cruise than the equivalent CTWs for the regional and narrow-body classes, respectively. In addition, the LFCs are more aerodynamically efficient and burn less fuel than the BWBs. Additional optimizations were performed to determine the aerodynamically optimal cruise altitude of all of the aircraft. Due to their lower wing loading, the resulting increase in cruise altitude is most beneficial for the BWBs, such that the regional and narrow-body-class BWBs burn up to 5.5% less fuel than the CTWs. The LFCs offer up to a 10.3% fuel-burn reduction relative to the CTWs when at their optimal altitude.