We present the relation between stellar specific angular momentum j * , stellar mass M * , and bulge-to-total light ratio β for THINGS, CALIFA and Romanowsky & Fall datasets, exploring the existence of a fundamental plane between these parameters as first suggested by Obreschkow & Glazebrook. Our best-fit M * − j * relation yields a slope of α = 1.03 ± 0.11 with a trivariate fit including β. When ignoring the effect of β, the exponent α = 0.56 ± 0.06 is consistent with α = 2/3 predicted for dark matter halos. There is a linear β − j * /M * relation for β 0.4, exhibiting a general trend of increasing β with decreasing j * /M * . Galaxies with β 0.4 have higher j * than predicted by the relation. Pseudobulge galaxies have preferentially lower β for a given j * /M * than galaxies that contain classical bulges. Pseudobulge galaxies follow a well-defined track in β − j * /M * space, consistent with Obreschkow & Glazebrook, while galaxies with classical bulges do not. These results are consistent with the hypothesis that while growth in either bulge type is linked to a decrease in j * /M * , the mechanisms that build pseudobulges seem to be less efficient at increasing bulge mass per decrease in specific angular momentum than those that build classical bulges.