The Sims: Bustin' Out

From Wikipedia:

The Sims Bustin' Out is the second title in The Sims console series. As the title suggests, the Sims can get out of the house to visit other locations such as Shiny Things Lab or Casa Caliente. There are two modes. Bust Out Mode which has mission based gameplay and Freeplay Mode which is open-ended gameplay very much like the original The Sims PC game. It was the first Sims game to not be on the PC. The PlayStation 2 version also features the option to play online, though EA no longer supports it. Also, the Xbox version of The Sims Bustin Out is not compatible with the Xbox 360.

Malcolm Landgraab is going around his neighbourhood, stealing items in return for unpaid rent. The player's objective is to complete each career track, unlock and buy back everyone's many possessions, and become rich enough to evict Malcolm from his mansion and move their own Sim in.