There's a big problem with rubber-soled vintage look bike shoes. The pedal cage digs into the rubber and then you are stuck. Lifting out of a cleat is something you learn . Not the same as being stuck. Plus the pedal wears out the sole. Quick.
The most vintage way to go is a leather soled shoe. I've had a few pairs of lace-up 80s shoes with plastic soles and Look mounting system. After 40 years the glue is dry and the sole comes right off the upper. The upper goes to the local shoe repair. You do need a good cobbler. Cobbler puts a leather sole on the leather upper. You also need a piece of steel to make the leather sole stiff. From another pair of shoes. If you have nail on cleats you like, do it. Or get real vintage and apply a pedal patch. Which is just a random piece of sole leather glued on the sole. Pedal digs in and makes a slot. It's a soft slot and not that deep. Some will pull out of the pedal, if that happens this is not for you. If you pedal smooth a pedal patch is all you need. And you can walk on it