There are many apps for wishlist this is the free app you can add there, if you want any customizing feature or any other you have to buy app
https://apps.shopify.com/wishlist-wishify --> this is the free app you can refer this !
I've been using Smart Wishlist, and I really like it.
I came across Smart Wishlist because I looked at the source code on one of my favorite clothing websites, saw they were using Smart Wishlist, and so I decided to give it a try.
Hope you find a wishlist that works well for you!
There are a variety of Wishlist apps out there that are great. One in particular that I would recommend is GroWave. Not only does this app support Wishlist functionality, It's also a Loyalty program, rewards, referrals, and photo reviews app all-in-one. I'd definitely recommend checking it out. If you sell in person, it also integrates with the Shopify Point of Sale system. Feel free to check out their app demo here.
I hope this helps! If there is anything else I can help you with, please let me know.