While some players use third-party save editors (we won't name them here) to force Extra Quality tags onto gear, the legitimate path is far more satisfying:

Unlocking the Ultimate Power: Danball Senki W Save Data Secrets

For advanced users using CFW (Custom Firmware) on PSP or Vita, "Extra Quality" can refer to texture replacement patches.

Danball Senki W multiplayer connection problem · Issue #15226