This is the "Ring Collector's Club Mug".
It's a Sega Shop online exclusive in winter 2019. The mug is all black ceramic with a 2 color design. The modern logo is on the back and the colors are bright blue and pinkish. The main design has modern ready for action Sonic stock art, checkers, some rings, the slogan and the year 1991.
The design is actually pretty stylish. The shapes and use of color on black with the dramatic and unusual 'lighting/shadowing' used on Sonic combine to give it almost a vaporwave or 80s asthetic somehow? Which is strange because that's not the right era...and modern Sonic usually isn't set with the 1991 date either. This could create some kind of 'hodgepodge', but for whatever reason here, it doesn't, and looks good instead. An interesting mug with a unique look for probably about 15 dollars. This same design was also used on a tee shirt.