Elliptic flow measurements as a function of pT of charged (π± and low-pT protons) and strange (Λ and K0S) particles from Pb+Au collisions at 158A GeV/c are presented, together with measurements of ϕ and K0S meson production. A mass ordering effect was observed. Scaling to the number of constituent quarks and transverse rapidity yfsT scaling are presented. The results are compared with results from the NA49 and STAR experiments and with hydrodynamical calculations. For the first time in heavy-ion collisions, ϕ mesons were reconstructed in the same experiment both in the K+K− and in the e+ e− decay channels. The obtained transverse mass distributions of ϕ mesons are compared with results from the NA49 and NA50 experiments. The yield and the inverse slope parameter of the K0S mesons were reconstructed from two independent analyses. Our results are compared with those from the NA49 and NA57 experiments.