Correction: Animal Crossing: Wild World is a Nintendo DS game (not Wii). The Wii entry is Animal Crossing: City Folk.
In Wild World (DS), your house expands to 5 rooms total by paying off loans to Tom Nook:
Each expansion requires a larger loan (final ~800,000 Bells). No Kitchen/Bathroom/Bedroom labels — rooms are blank slates for furniture.
City Folk (Wii) has the same 5-room structure (Main, Basement, 2nd Floor, Left, Right).