The location of a second 2+ state has been established for six even-even nuclei by means of Coulomb excitation produced by 4- to 5-Mev protons. The relatively weak excitation of these states is detected by a measurement of the gamma-ray yields from singles spectra and from coincident measurements of the cascade gamma rays. The B(E2)'s for decay of the second 2+ state to ground state by the crossover transition exhibit some uniformity for the even-even isotopes of W and Os, being about 6 times the single-particle value. The cascade/crossover ratio for the decay of the second 2+ state is known for these nuclei. The upper cascade B(E2)'s exhibit enhancements of 10 to 60 times the single-particle value. The ratios of the B(E2)'s for decay of the first and second 2+ states are compared to the predictions of several collective models. For five of these nuclei the E2M1 ratio is known for the upper cascade transition. The B(M1) values obtained are exceedingly small compared to the single-particle estimate. This result is in qualitative agreement with the collective models which predict that M1 radiation is forbidden in the decay of vibrational excitations.