There is a detailed page about the Republic Stables Medal. Level 15 to use, teleports the wearer to the doors of the Bastok Mines Chocobo Stables.
That's the only one I could think of off the top of my head. I found the Moogle and Nomad Caps after looking around FFXIclopedia for you, but those are limited edition Rare/Ex items that I doubt can be obtained anymore:
Also, you'd have to have your allegiance in Bastok for them to teleport you there.
If your Home Point is in Bastok, you could also find items with Warp enchantments, like the Treat Staff II (Halloween event).