Referring to attractive women as "babes" seems to have passed out of fashion. Was that just an '80s thing? Remember when people would say things like "What a babe!" and "Look at that babe in the bikini!"? Now, you pretty much only hear it as a term of endearment, where you might substitute "honey" or "sweetheart," as in "Hey babe, your butt looks bitchin'."
"Chicks" still gets use in certain situations, when referring to "hot chicks" or White Chicks, for instance. Granted, it doesn't enjoy the wide usage it did in the '60s and '70s--when did "chick" start, anyway? I could even imagine a '50s guy saying it. That might have been the decade when we transitioned from "bird" to "chick."
"Babe" was always an awkward way to refer to women anyway. I never liked how it was easily confused with references to young children, and how made Babe Ruth seem effeminate by association.
In the very first Archie Comics story, circa 1941 or so, Archie wanted people to call him by his nickname, "Chick," which he believed sounded cooler. That character detail disappeared early on, but in retrospect it's very odd to read.