We consider a general class of models with gauge-mediated supersymmetry
breaking in which the gravitino is the lightest supersymmetric particle.
Several qualitatively different scenarios arise for the phenomenology of such
models, depending on which superpartner(s) decay dominantly to the gravitino.
At LEP2, neutralino pair production and slepton pair production can lead to a
variety of promising discovery signals, which we systematically study. We
investigate the impact of backgrounds for these signals and show how they can
be reduced, and outline the effects of model parameter variations on the
discovery potential.Comment: 36 pages, LaTeX, 10 figures embedded using epsf.sty (published
version; minor changes in wording