The Sims Stories are a group of The Sims games, using a lighter version of the Sims 2 game engines, for the use on Laptops. The series included:

The Sims Life Stories: Life stories is the first game to be produced under the title of The Sims Stories and features similar game play to the Sims 2. The Game features two modes, a Story mode, new to PC version of the game and Open Ended Classic mode where the user can play the game just like in the original Sims 2 Games.

The Sims Pets Stories: Pets Stories was he second game to be produced under the Sims Stories title. It also features a Story mode and Open Ended Classic mode. Unlike Life Stories, this game features pets for Sims to owns and is somewhat similar to the expansion pack for the sims 2.

The Sims Castaway Stories: Castaway Stories doesn't take after any Expansion packs from The Sims 2 but does use some of the features from the series. It is the third game in the Sims Stories title and currently the last. Unlike the other two game, Castaway Stories gives users the chance to use their own Sims to be castaway. This game also has one 24 chapter compared to the other two games in the series which only have 12 chapters.

SimAnimals is a The Sims like game but instead of looking after a Sim in their home you are taking care of an animal in its habitat. It had been released for both the Wii and DS but wasnt ported to other consoles or PC. 

There are two different version of SimAnimals:

SimAnimals: This was the first game in the series and gives the user the same role as in The Sims. The user would look after the animal and the animals would evolve a personalities depending on how the user would treat the animals. 

SimAnimals Africa: Going off the Africa now with the second game in the SimAnimal Series. SimAnimals Africa is just like SimAnimals but with the exception of African Animals such as Lions and Zebras.

MySims is a Wii/DS version of The Sims. It uses custom Mii charatures which the user can create in a watered down Create-A-Sim made for MySims. Their are currently 6 games in the MySims Series.

MySims: MySims was first released in 2007 for the Wii and DS and later released for the PC. It featured a story mode where the user need to refurbished the town for doing little missions for the chef  or Mayor. Later on in the game you can end up making the game how ever you want.

MySims Kingdom: MySims Kingdom is the second game in the MySims Series. It again, was released for the Wii and DS but unlike the original MySims, both games featured different storylines but in the same location. The Wii version starts off in a run down kingdom with a king who want to bring happiness back to the kingdom while the DS version takes place on island somewhere in the kingdom trying to bring Sims to the island while also learning about the islands evilness.

MySims Party: MySims party is the third game in the MySims series and was again released for Wii and DS. In this version of MySims, the user has to again bring back residents to the run-down town. The user does this by entering festivals, needing to win them to bring back residents.

MySims Racing: This is the fourth game in the MySims Series and has been released for the Wii and DS. The Game is somewhat similar to Mario Kart Wii and doesnt require the user to redevelop a town. Instead the user can make their own kart.

MySims: Agents: MySims Agents is the fifth game in the MySims Series and has been released for the Wii and DS. MySims Agents is a mystery-solving adventure game in which the user must guide agents to stop the sinister plans of the lord of the underground, Morcubus.

MySims: SkyHeros: The newest in the MySims series, it will be released for all major consoles, included are; PS3, Xbox360, Wii and DS. This is the first MySims game to be released on the Xbox 360 and PS3. MySims Skyheros will start out with the user being an unknown pilot and leads the resistance to the evil Morcubus and his drones who plan to take over he airways.