Welcome to Binky Bunny, Mrsbedavis! When you click on the BUNNY INFO link, one of the categories is Healthy Diet. Look at the Greens/Veggie section and there are 2 links to articles on greens and fruits, with lists of the ones that are best and ones that shouldn’t be fed as often. Start slowly with the greens and introduce a new one every few days or once a week. Besides cilantro, most bunnies really like kale, dandelion greens, parsley and carrot tops. Some of those baby carrots can be rather large, depending on the brand, and a whole one might be too much to give a bunny each day. You do have to watch the sugar content in their diet. There are so many greens that are good for rabbits, hopefully you can find some that your bunny loves.
If he’s not eating as much hay as you think he should, try different varieties or brands. Some rabbits love softer hay, like second cutting timothy (American Pet Diner Timothy Gold is one) and others like the harder, stalkier hay of first cutting timothy or oat hay. Orchard grass is usually well liked too, since it tastes a bit sweeter.
I assume that is your bunny in your avatar. He’s a cutie!