Here's an official photo for this run of LCD McDonalds Sonic games. (photo by McDonalds) These were relased in 2003, in the USA...but also in other countries. Where?
Each game is a relief with 2 color of plastic and 2 colors of paint. The official descriptions are in quotes. Official photos and quotes found by CornBoy-Thank you!

Super Monkey Ball

This game doesn't belong! But it was part of the promotion. Super Monkey Ball is a Sonic Team game, so AiAi and some other monky appear on this banana shaped game. "AiAi Banana Catch -- Bananas are falling from the sky and AiAi needs help moving back and forth to collect as many bananas as possible."

Sonic The Hedgehog Speedway

Gamers are challenged to move Sonic The Hedgehog back and forth around the racetrack without running into anything." Here is a racing game of some sort. Too bad the case is so dark blue, you can't tell what the reliefs are.
Gameplay Explanation: "You move left and right avoiding 30 rows of cars per each of 3 levels. Speed (and therefore difficulty) increase each level. Crash 5 times and you lose. Also the top right corner is not Tails, it is apparently a city you're racing to."
Game Explanation Credit to: JSL
Do you want to play this game? You can play an online version if you click this link: Sonic Speedway Game. It is done in flash, and will play in the browser with your arrow keys.

Do you have any of these other games? If so, and you can explain what to do (like in the above description) send it in for credit!

Sonic The Hedgehog Action Game

Launch Sonic The Hedgehog up and down over platforms on an adventure to collect rings and make it safely through the obstacle course challenge." A Sonic game with palm tree and power ring relief. Notice that it only has one button. Also, the rendition of Sonic at the top seems kind of shifty. To play this game, you push the button and Sonic jumps over boxes and collects rings. He runs by himself, so all you need to do is jump. -Cornboy credited for gameplay info.

Shadow Grinder

Help Shadow maneuver around cracks and jump over breaks as he skateboards down a tricky rail." Shadow's game looks like a city, and you're obviously supposed to grind rails with the single button to play. Shadow is constantly grinding down a diagonal rail, and you use the button to jump over gaps in it. This is one of the more easy to recognize games, as Shadow's image is clear, as long as the game is shown large enough.
Gameply info credit to: MetalMandible

Knuckles Soccer

Gamers are faced with a soccer challenge from Eggman, in which they help Knuckles dive back and forth and block goals." This looks like Soccer with Knuckles. But why is the guy who punches on the game about kicking? Because he's the goalie. "You have to move left and right with the buttons to prevent the constantly-falling balls from getting in the goal, similar to the Sonic Racing game. There are even some balls that move diagonally. A non-sprite image of Eggman is also visible at the top of the screen " Again, the relief is not put to best use as it's hard to tell what's going on. Play info by MetalMandible

Tails Sky Patrol

Join Sonic The Hedgehog's friend, Tails, as he flies through the sky trying to collect rings." You can see the mountain background for this game, and even a bit of the word "Sega" from the bottom. Unfortunatly detail is lost because the photo has been over-brightened.