This is a short review of present and future limits on new neutral gau
ge bosons, in particular on hadrophilic or leptophobic Z's recently pr
oposed to interpret the observed fluctuations of Gamma(c,b) at LEP. Li
ght gauge bosons coupled to lepton number differences or to baryon num
ber are also examples of the model dependence of these bounds. The mix
ing between the U(1) factors plays an important role in the phenomenol
ogy of these extended electroweak models. Future improvements based on
the analysis of precise electroweak data are emphasized.