We present the results of searches for non-standard model
phenomena, with focus on signature-based searches and searches driven by
non-supersymmetry (non-SUSY) models.  The analyses use 1.0-2.5 fb-1 of
data from p anti-p collisions at s**(1/2) = 1.96 TeV collected with the
CDF and D0 detectors at the Fermilab Tevatron.  No significant excess
in data has been observed.  We report on the event counts, kinematic
distributions, and limits on selected model parameters.