The main things to look out for are oxalate content and (sometimes) calcium. Most bunnies can handle lots of calcium, but some need a lower calcium diet, as Bam said, so really you mostly want to look out for oxalate.
Any veggie that is both low in calcium AND low in oxalate could be fed as much as you want. Some examples of this off the top of my head would be lettuces, cilantro, escarole/endive, and I believe bok choy (but it isn’t quite as leafy as I’d like for a staple). High calcium but low oxalate veggies include carrot tops, kale, dandelion, and quite a few herbs. Veggies with high calcium you can and should include, but just keep an eye on your bun’s urine. If it starts looking sludgy, adjust the veggies and chat with your vet. The real thing to limit is oxalate, especially veggies that are both high in oxalate AND calcium (like parsley, spinach, beet greens, chard), because the combo of oxalate and calcium is thought to contribute to crystal formation. These veggies are very nutritious, but should be fed in a rotation and not make up the bulk of the salad, especially spinach, which has super high levels of both oxalate and calcium.
I aim to feed a mix of 3 veggies a day on avg (more or less, depending on the season). I usually have a type of lettuce, an herb, and some other green, with one or none of those being a high-oxalate veg. I also tend to think about things as running averages. If one week I end up feeding more oxalate than I’d like to, the next couple weeks I stick with only low-oxalate veggies.
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The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.