I feed pellets because they provide the all-important nutrients and vitamins/minerals that rabbits need to be healthy, happy, and develop fully. The right feed will also produce a healthy coat with shine and keep their teeth healthy and trim.
~Hay:
Hay is possibly the most important thing you can feed your rabbit. Not only does it provide essential fiber, but it also keeps the teeth trim and healthy.
If you are allergic to hay, try to find a way to provide your rabbit with daily access to grass. It does the same thing.
~Oats:
I feed a tablespoon of oats to my rabbits twice a week. All the babies and brood rabbits get them. It keeps their gut healthy and if your rabbit has excessive runny poop or diarrhea, it helps dry that up. Oats can help your underweight rabbit gain.
~Black oil sunflower seeds:
I feed a tablespoon of BOSS to my show rabbits daily. It gives the rabbits clean, glossy coats, helps with molting, and helps a rabbit get condition back after having a litter or getting sick. Overall, it makes them look nicer and keeps them healthy for a show career.
~Fruits and Veggies
All adult rabbits in my herd get fruits and veggies a few times a week. I try to alternate what I give them. If I give them carrots one day, I try banana or kale the next. Sugary fruits (such as banana), should be fed in moderation, as well as veggies high in water content. Lettuce should never be fed. Dark, leafy greens, like kale, carrot tops, mustard greens and collards are the best. They are like hay, and provide fiber and vitamins.