Here, we look at the three main members of the "Batman family"; Robin, Batgirl and Man-Bat, and their runs as individual characters as back-ups in Detective Comics.
Robina back-up in Star-Spangled Comics)...
....not until Detective Comics #386 (April, 1969)! It must have worked, as the high school aged Robin returned again in Detective Comics #390 and #391, then moved to Hudson University as a freshman college student for #394, #395, #398-#403, then was a back-up in Batman for a bit, before returning for Detective Comics #445, #447, #450 and #451, then a brief stint with 20 issues of Batman Family, before that title merged with Detective Comics, picking up the Robin stories again with Detective Comics #481 to #495.
....more than a few of those tales of Robin were shared with the Batman family member who had the most back-up appearances in Detective Comics....
Batgirl's first solo tale premiered in Detective Comics #384 (February, 1969), with Barbara alternating the back-up spot with Robin, having issues #385, #388, #389, #392, #393, #396 and #397, then sharing #400 and #401 with Robin, and back on her own continuous run with #404 to #424.
two guest appearances in the Superman title and a tale with Supergirl in Superman Family, returned for 20 issues of Batman Family (mostly teaming up with Robin, but a few solo tales), then back to Detective Comics with #481 to #499, then #501, #502, a full length tale with Batman and Robin in #503, then back to back-up for #505, #506, #508 to #510, #512 to #519, the end of her solo run before the Crisis On Infinite Earths and the Killing Joke, other than one Batgirl Special.
Teen Titans, Batgirl really just worked with Robin, private investigator Jason Bard, Commissioner Gordon and the last of the features to be mentioned here....
After assorted tales where Batman helped cure Kirk, and even his wife, Francine (who became the She-Bat), and two issues of his own title, Man-Bat had a couple of issues of being a Detective Comics back-up in #458 and #459 in 1976.
Jason Bard to the mix in the last issue), Man-Bat moved over to Detective Comics with the rest, but only for issues #481, #485 and #492 (and much more on Man-Bat is available here!).
Still, these three filled up pages, having interesting stories, but also keeping alive the feeling of Batman in Detective Comics!