Molle Mystery Theater
The Molle Mystery Theater aired from 1943 through 1948 on NBC, then from 1948 to 1951 on CBS as simply Mystery Theater.
The NBC run was sponsored by Sterling Drugs and, you guesssed it, Molle Shave Cream.
Each episode of this crime drama/mystery anthology was introduced by "Geoffrey Barnes", originally played by Bernard Lenrow.
You can find more episodes in the Ear Benders section.
Here is a sample of the online episodes currently available at The Old Time Radio Fan: