I recently discovered that as part of the Monaco's 40th anniversay, TAG Heuer released five special limited edition straps.
There are some places that sell all 5 as one set kit, such as Authentic Watches: EB0030 TAG Heuer Monaco Strap Kit with Screwdriver
However, at some TH Boutique stores you can buy them individually. I just bought a 40th Anniversery LE black/orange stitch alligator strap to go with my Gulf LE Monaco. While it may look like the Black Monaco Gulf's strap, it differs in that it has an orange backing. The orange backing runs up the side of the band, providing a thin orange stripe next to the orange stitching.
I love the look of this strap with my meteor grey faced Monaco Gulf.