Definitely recommend
Selena: One Hour Agent as well, there's a
fanmade remake which is also abandoned that you can check out.
Lady Investigator Reika you play as a undercover investigator infiltrating a crime org.
Detective Girl of the Steam City is also a pretty good game but I would say it's more of an regular RPGM adventure game with a detective theme and elements.
Undercover you play as a female cop, racing for a promotion. The game is still new and and in development, so not much content.
Mia Hart: Private Investigator you play as a independent female investigator, also new and lacking content.
Lastly
Deep in Hollywood Inc. not my cup of tea. But if you like HTML and real life images, you can check it out.