These are 2 seldom-seen cups. The left is a clear regular round drinking glass. You can see it has the classic logo, forward facing Sonic face, some checkers, and probably running Sonic there. (It's kind of confusing since it's a glass/clear & small)
The right item is a plastic low mug-cup. Japan is generally known for their large selection of ceramic items, so this plastic one is interesting to see.

(Is it their only one?) It resembles the plastic mug that usually acts as a thermos top. (But probably isn't) It has running Sonic there by the handle, and probably some kind of Green Hill type art, and maybe a badnik. However, because the photo is so small, it's hard to tell. Photo by HikariSite (Photo is at original size, it's very small)