  We present the results of searches for B decays to charmless final states
involving phi, fzero(980), and charged or neutral rho mesons. The data sample
corresponds to 384 million BBbar pairs collected with the babar detector
operating at the PEP-II asymmetric-energy epem collider at SLAC. We find no
significant signals and determine the following 90% confidence level upper
limits on the branching fractions, including systematic uncertainties:
  B(B0->phiphi) < 2.0 x 10^-7,
  B(B+->phirho+) < 30 x 10^-7,
  B(B0->phirho0) < 3.3 x 10^-7,
  B(B0-phif0) x B(f0->pi+pi-) < 3.8 x 10^-7, and
  B(B0->f0f0) x B(f0->pi+pi-) x B(f0->K+K-) < 2.3 x 10^-7
