Moshi Monsters Nintendo DS Game: Moshlings Theme Park

Yes, one main title exists:

Moshi Monsters: Moshlings Theme Park

• Platform: Nintendo DS / 3DS (Backward Compatible).
• Release: October 2012 (EU) / November 2012 (NA).
• Developer: Mind Candy / Black Lantern Studios.
• Genre: Simulation / Mini-game Collection.
• Gameplay: Build/Manage Theme Park, Collect 60+ Moshlings, Mini-games (Whack-a-Moshling, Rollercoaster), Unlock Codes for Online Moshi Monsters Website (Flash, Dead 2019).

Availability:

• Physical Cartridge: Used (eBay, CEX, GameStop) ~$10–$25.
• Digital: Never on Nintendo eShop.
• Online Features: Dead (Website closed Dec 2019). Codes for Rox/Seeds useless.

Sequel? Moshi Monsters: Katsuma Unleashed (2013, DS/3DS/Wii/PC) — Platformer.