I have a near mint Jaeger-LeCoultre brown alligator strap that came from a Master Ultra Thin 38. Unpadded, 21mm wide with curved edge and curved spring bars.
An extra hole was professionally punched to make it more snug. It was worn very sparingly on a deployant and has tons of life left.
Pics are here: JLC MUT 38 brown strap - a set on Flickr.
Price is $295 obo shipped, paypal ok. Please email me using the forum buttons.