So this issue has three Batman stories, two comic strips and a one page text story. That level of content is a lot different from today.
The art’s fine… I suppose Dick Sprang, drawing ancient Rome in the second story, has the best panels (but just because of subject matter).
As far as writing… it’s actually kind of interesting to see the differences between the stories. The first one, by Finger, will offer the reader a chance to solve the mystery before Batman does. The clues are often too small to see, but if one really tried and knew a lot of trivia, he or she could do it. It’s also interesting because Batman and Robin almost die, surviving only by luck, not their own doing.
The last story, also by Finger, with Batman confused about his identity, is pretty good. The resolution is idiotic, but the mystery’s decent throughout.
The Signalman of Crime; writer, Bill Finger; penciller, Sheldon Moldoff; letterer, Pat Gordon. Batman’s Roman Holiday!; writer, Edmond Hamilton; penciller, Dick Sprang; letterer, Artie Simek. Am I Really Batman?; writer, Finger; penciller, Moldoff; letterer, Gordon. Inker, Charles Paris; editor, Whitney Ellsworth; publisher, DC Comics.