The motivations and phenomena of seesaw models at the TeV scale are briefly reviewed. We show that non‐standard neutrino interactions and non‐unitary effects are two typical features of low‐scale scalar and fermionic seesaw models, respectively. For scalar seesaw models, in principle, significant non‐standard interaction effects can be accommodated in the type‐II seesaw model. As for the low‐scale fermionic seesaw models, the inverse seesaw model turns out to be the most natural one, and could be well tested at the future long‐baseline neutrino oscillation experiments and the LHC.