In the recent past, several hints of inconsistencies between experimental results and theory predictions in the framework of the Standard Model (SM) have been obtained from measurement of $B$-meson decays, though no beyond-SM (BSM) effects have been observed yet.
We report here about a few recent searches for BSM effects in B-meson decays performed with the full BaBar data sample, collected at the energy of the $\Upsilon(4S)$ resonance, which corresponds to 471 million $B\bar{B}$ pairs.
Among these measurements of semileptonic decays involving the tau lepton, which evidenced a significant discrepancy with the SM predictions, and of the rare flavour changing neutral current processes $B \to K^{(*)} l^+l^-$ where $l = e, \mu, \tau$. The latter, highly suppressed in the SM, occur at lowest order via 1-loop diagrams, and contributions from virtual particles in the loop allow one to probe large mass scales at relatively low energies. In particular, the decays $B \to K^* e^+e^-$ and $B \to K^* \mu^+\mu^-$ (both charged and neutral modes) are studied using an angular analysis to extract the quantities $A_{\rm FB}$ and $F_{\rm L}$, and the quantity $P_2$, which is subject to smaller theoretical uncertainties and is more sensitive to non-SM contributions. We also present a search for the not yet observed $B^+ \to K^+ \tau^+ \tau^-$ decay.