Bliss Island is an arcade game that was developed by PomPom [the people that did Mutant Storm Empire and Reloaded] and being published by Codemasters [Sensible World of Soccer]. In fact, this is a PC game that you can play for free.

More information, and the achievements after the jump!

From the xbox.com page -

Bliss Island is a fun and engaging pick-up-and-play game, and once you pick it up, you can’t put it down! Delve into the world of Bliss Island and help Hoshi win a day off as you take on over 25 unique challenges, spread across nine crazy levels. Mastered single player mode? Challenge your friends online and see who really is the Bliss Island champion.

• Pick up and play: Experience more than 25 unique challenges across nine crazy levels.
• Play with friends: Jump into online multiplayer and challenge your friends online.

The Achievements:

Achievements	Gamerscore
Fruit Smoothie Complete Fruit Smoothie in adventure mode.	5 Locked
Brick Invaders Complete Brick Invaders in adventure mode.	10 Locked
Bronze Levels Complete all the bronze levels.	15 Locked
Silver Levels Complete all the silver levels.	20 Locked
Gold Levels Complete all the gold levels.	25 Locked
First Medal Win a medal by completing a task.	5 Locked
Three Medals Win three medals by completing three tasks.	10 Locked
Bronze Medals Win all the bronze medals.	15 Locked
Silver Medals Win all the silver medals.	25 Locked
Gold Medals Win all the gold medals.	35 Locked
Three-Nil Win a game of Fluffy Football 3-0.	15 Locked
Five-Nil Win a game of Multiplayer Forest Frenzy 5-0.	20 Locked

Thanks to XBLArcade for some extra information on Bliss Island!