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Single top quark cross section evaluations for the complete sets oftree-level diagrams in the $e^+ e^-$, $e^- e^-$, $\gamma e$ and $\gamma \gamma$modes of the next linear collider with unpolarized and polarized beams areperformed within the Standard Model and beyond. From comparison of allpossibilities we conclude that the process $\gamma_+ e^-_L \to e^- t \bar b$ isextremely favoured due to large cross section, no $t \bar t$ background, highdegrees of beam polarization, and exceptional sensitivities to $V_{tb}$ andanomalous $Wtb$ couplings. Similar reasons favour the process $e^- e^- \to e^-\nu_e \bar t b$ for probing top quark properties despite a considerably lowercross section. Less favourable are processes like $e^+ e^-, \gamma \gamma \toe^- \nu_e t \bar b$. Three processes were chosen to probe their sensitivity toanomalous $Wtb$ couplings, with best bounds found for $\gamma_+ e^-_L \to e^- t\bar b$ and $e^+_R e^-_R \to e^- \nu_e t \bar b$.Comment: 23 pages, 13 figure

Single top production in $e^+ e^-$ , $e^- e^-$ , $\gamma e$ and $\gamma \gamma$ collisions