First evidence of the $B^0to J/psiomega$ decay is found and the $B_{s}^0to J/psieta$ and $B_{s}^0to J/psieta^{prime}$ decays are studied using a dataset corresponding to an integrated luminosity of 1.0 $mathrm{fb}^{-1}$ collected by the LHCb experiment in proton-proton collisions at a centre-of-mass energy of $sqrt{s} = 7$ TeV. The branching fractions of these decays are measured relative to that of the $mathrm{B}^0to J/psirho^0$ decay: $$frac{Br(B^0to J/psiomega)}{Br(B^0to J/psirho^0)} = 0.89 pm0.19(stat)^{+0.07}_{-0.13}(syst)$$ $$frac{Br(B^0_sto J/psieta)}{Br(B^0to J/psirho^0)} = 14.0 pm 1.2(stat)^{+1.1}_{-1.5}(syst)^{+1.1}_{-1.0}(frac{f_d}{f_s}),$$ $$frac{Br(B^0_sto J/psieta^{prime})}{Br(B^0to J/psirho^0)} = 12.7pm1.1(stat)^{+0.5}_{-1.3}(syst)^{+1.0}_{-0.9}(frac{f_d}{f_s}),$$ where the last uncertainty is due to the knowledge of $f_d/f_s$, the ratio of b-quark hadronization factors that accounts for the different production rate of $B^0$ and $B^0_s$ mesons. The ratio of the branching fractions of $B^0_sto J/psieta^{prime}$ and $B^0_sto J/psieta$ decays is measured to be $$ frac{Br(B^0_sto J/psieta^{prime})}{Br(B^0_sto J/psieta)} = 0.90pm0.09(stat)^{+0.06}_{-0.02}(syst).$$
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