While what you're saying is true (and Betty White even won an Emmy for her work on "Just Men!"), there have been more women hosting game shows in the last decade or so. Fred mentioned Stephanie Miller; there's also Brooke Burns ("The Chase") and Sherri Shepard (GSN's version of "The Newlywed Game") who immediately come to mind. The hosts you mention were scattered chronologically:
Arlene Francis (Blind Date, radio beginning in 1943, television 1949-52)
Betty White (Just Men!, 1983)
Vicki Lawrence (Win, Lose Or Draw, 1987-90, NBC version only, Bert Convy and then Robb Weller hosted the nighttime syndicated version)
Elaine Joyce (The Dating Game, 1986, and then for only a year, before Jeff MacGregor replaced her)
Sarah Purcell (The Better Sex, 1977, and she co-hosted that with Bill Anderson)
A note about Bill Cullen: he emceed two other games which had respectable runs: "Eye Guess" (1966-69) and "Three On A Match" (1971-74), the only show that was able to compete successfully with "As The World Turns" and "Let's Make A Deal" at 1:30 PM (ET) before NBC expanded "Days Of Our Lives" to an hour in 1975.
Arlene Francis (Blind Date, radio beginning in 1943, television 1949-52)
Betty White (Just Men!, 1983)
Vicki Lawrence (Win, Lose Or Draw, 1987-90, NBC version only, Bert Convy and then Robb Weller hosted the nighttime syndicated version)
Elaine Joyce (The Dating Game, 1986, and then for only a year, before Jeff MacGregor replaced her)
Sarah Purcell (The Better Sex, 1977, and she co-hosted that with Bill Anderson)
A note about Bill Cullen: he emceed two other games which had respectable runs: "Eye Guess" (1966-69) and "Three On A Match" (1971-74), the only show that was able to compete successfully with "As The World Turns" and "Let's Make A Deal" at 1:30 PM (ET) before NBC expanded "Days Of Our Lives" to an hour in 1975.