Shopify Gift Cards
If you're on Shopify's Professional Plan (or higher), you may notice they have a Gift Card feature.
Unfortunately, Recharge is not able to integrate with the Shopify gift cards at this time. The reason is Shopify has not opened up their API to the gift cards for all users yet.
What other clients usually do is they will make a gift-specific product subscription that customers could buy directly, rather than offering a gift card.