Although Hollywood gets some heat for making remakes and reboots, this is NOT a new thing at all. In fact, OFTEN they would remake movies only a few years after the original film all the way back to the 1930s and 40s. So, it's not surprising that MGM would remake "Hide-Out" as "I'll Wait for You" only seven years later.
The original version stars Robert Montgomery, a wonderful actor. The remake stars the far less famous Robert Sterling, who is wonderful here but just not as wonderful as Montgomery! The major difference between the two that I noticed was that the remake added a couple unnecessary musical numbers...otherwise they are so similar I wonder why anyone would want to see the remake instead.