Golden Slingshot: Getting the " shoot down 300 balloons" milestone, looking for a gold-colored balloon in the skies. Shooting that balloon then DIY recipe will be inside.
Golden Fishing Rod: Finish the list of 80 fishs by catching all fish in the Critterpedia. The Museum donations are not required for that. The recipe will come 1 day later in your mailbox after you catched the final fish.
Golden Watering Can: Reach a 5-star town ranking. Isabelle will give you the DIY recipe after giving you this rating.
Golden Net: Currently unconfirmed, but in every game prior, the requirement was to catch every bug. This seems highly likely given the
Golden Fishing Rod requirement. We’re working toward confirmation.
Golden Shovel: Currently unconfirmed. Sources are reporting that this requires saving Gulliver on the beach 30 times