I was bound and determined to post titles this week that didn't contain the word "Detective." That made the search really hard. But I did find one with that word that is really interesting in its irony: Called simply DETECTIVE, it was very short-lived (2 issues in 1933 and maybe just one more in 1934) and is now very rare.
Although DRAGNET eventually became a "Detective" title (Detective Dragnet, and then eventually TEN DETECTIVE ACES), the period in which it was called DRAGNET - from the end of 1928 to the beginning of 1930 - was short. I picked this cover because I think it's magnificent. This is the second issue.
The next entry, DIME MYSTERY BOOK MAGAZINE, was a conventional mystery magazine with a full length novel in each issue along with a couple of short stories. Eventually it changed its title to DIME MYSTERY MAGAZINE and the emphasis of the content turned to "weird menace" which was anything but conventional. While it only lasted 10 issues as a conventional mystery magazine, it lasted 144 issues as a weird menace. This is the December 1932 issue.
THE DANGER TRAIL lasted for over two years under this title before it was changed to at least three more titles, the last being WIDE WORLD ADVENTURES, which was its last title in 1930. This is from October 1926.
DAN DUNN DETECTIVE was an attempt to capitalize on a certain comic book hero. It didn't work: It only lasted two issues. This is the second one, from November 1936.