Here's a promo poster for Sonic Rush Adventure on the DS. It has an island, some sunken ships and the phrase "Where will the adventure take you?" At the top you can see Sonic, Tails, Captain Whisker and Johnny. A compass-rose is in the center. This was likely a magazine…
Two round patches. Notice that the Eggman one says "Professor Robotnik" even though in Japan, he was never supposed to be called that. The Tails is so cute on the second one! Although, a bit cross-eyed.