While there is no official "Minecraft" ROM for the original Nintendo DS, the search for one often leads to DScraft, a popular fan-made homebrew project that recreates the Minecraft experience on the older handheld. The Official Status
During the DS's peak, the hardware simply wasn't beefy enough to handle Minecraft’s infinite procedural generation. While the New Nintendo 3DS nintendo ds minecraft rom link
Official Releases: Look for official Minecraft releases on other platforms. Minecraft is available on a wide range of devices, including PC, consoles, and mobile devices. While there is no official " Minecraft "
Here is the breakdown of why this quest is a legendary part of handheld gaming history. The "Missing" Port nintendo ds minecraft rom link
Finding a Nintendo DS Minecraft ROM Link