L x-ray production in 57 La, 60 Nd, 64 Gd, 68 Er and 71 Lu was measured for He + bombardment in the energy range 1-5 MeV. Very thin target foils were used, and x-ray yields were measured simultaneously with elastically scattered ions. The L-shell and individual L α , L β , L γ and L production cross sections and their ratios were extracted. These cross sections are compared to the results of the ECPSSR theory (energy-loss and Coulomb deflection effects, perturbed stationary state approximation with the relativistic correction), its united-atom (UA) extension UA-ECPSSR and the UA-ECPSSR-MI, which also accounts for multiple ionization (MI). With a few exceptions, the standard ECPSSR appears to be better than its modifications when L β /L α and L γ /L α ratios are analysed. L α , L β , L γ and L and total L x-ray production cross sections, however, are in the best overall agreement with the UA-ECPSSR-MI theory.