  We perform a global analysis of the sensitivity of LEP2 and e^+e^- colliders
with a c.m. energy in the range 500 - 2000 GeV to new flavor-changing single
top quark production in the effective Lagrangian approach. The processes
considered are sensitive to new flavor-changing effective vertices such as Ztc,
htc, four-Fermi tcee contact terms as well as a right-handed Wtb coupling. We
show that e^+ e^- colliders are most sensitive to the physics responsible for
the contact tcee vertices. For example, it is found that the recent data from
the 189 GeV LEP2 run can be used to rule out any new flavor physics that can
generate these four-Fermi operators up to energy scales of \Lambda > 0.7 - 1.4
TeV, depending on the type of the four-Fermi interaction. We also show that a
corresponding limit of \Lambda > 1.3 - 2.5 and \Lambda > 17 - 27 TeV can be
reached at the future 200 GeV LEP2 run and a 1000 GeV e^+e^- collider,
respectively. We note that these limits are much stronger than the typical
limits which can be placed on flavor diagonal four-Fermi couplings. Similar
results hold for \mu^+\mu^- colliders and for tu(bar) associated production.
Finally we briefly comment on the necessity of measuring all flavor-changing
effective vertices as they can be produced by different types of heavy physics.
