We present the results of searches for Standard Model Higgs, charged stable massive particles, dijet mass resonances, and heavy neutral gauge bosons in Tevatron ppbar collisions at sqrt s = 1.8 TeV using the CDF and D0 detectors. While the Standard Model has enjoyed many phenomenological successes, the mechanism of electroweak symmetry breaking remains at large. This suggests that the Higgs boson may be heavy enough to remain elusive, or, perhaps, there is additional physics beyond the Standard Model. Until the LHC comes online, the Tevatron will remain at the energy frontier and thus plays a unique role in the search for Higgs and non-Standard Model physics. Here we report on the results of searches within the Tevatron's exclusive energy reach.