Despite recent progress in delineating the star formation history of the Universe, many of the most basic questions about how galaxies of different morphological types form and evolve remain unanswered.  Further progress can be most easily made by studying the resolved properties of distant galaxies. Key issues include the assembly history of field elliptical galaxies, the dynamical history of spiral disks and the role of the abundant population of faint irregulars. In this non-specialist talk, I will explore each of these problems using joint redshift and Hubble Space Telescope datasets in the context of hierarchical models for structure formation.