These are 4 of the 12 coaster designs that will be on offer in Yokosuka from December, for a new promotion by Yokosuka City & SEGA Japan to mark the upcoming release in Japan of Shenmue I & II on the PS4. The promotion runs from December through to February of next year.
The conditions are that you receive one with a purchase of 500 yen or more at one of 8 shops (plus there will be a free stamp available at Suwa shrine), but the design you get is randomly assigned. Also, making it difficult for collectors, the available designs will be split across two periods.
Sega will even be setting up some life-sized Shenmue character boards (and one of a forklift!) on Dobuita street for photo opportunities.
If anyone is planning a trip to Japan during that time, I've translated the details of the shops:
https://www.phantomriverstone.com/2018/11/shenmue-coaster-collectibles-in.html