I don’t recall the over-sexualized accusation for Cage (although I’m sure someone might have had a problem with it at some point), but I do remember that a lot of folks, mostly in the Bible Belt, felt that Spock looked too demonic with the ears and eyebrows and really wanted him booted from the cast.
The kind of dance that Vina did was already a common feature in sword-and-sandal feature films of the time, especially the ones made in Europe. But this was television, and I don't think you really saw that kind of thing in an American TV show in 1964. Plus there was the whole plot point about the Talosians wanting to keep Pike on their planet to mate with one of the women. Despite the pitch that Star Trek was supposed to be more of a grown-up science fiction show, maybe the execs couldn't get past the idea of the time that television SF should be kid-friendly. The 1960s was a decade of rapid change, so apparently that stuff was okay by the time "The Cage" was mixed into "The Menagerie" and aired in late 1966 (though Pike's "wild little animal" line was deleted). Also, now that I think about it, it's kind of surprising that the Talosians were going to have Pike be monogamous, considering this was a GR story!
Kor