You probably want to cut out the fruit and go for more of the leafy greens, here is a list from the House Rabbit Society:
LEAFY GREENS
These foods should make up about 75% of the fresh portion of your rabbit’s diet (about 1 packed cup per 2 lbs of body weight per day).
Leafy Greens I (need to be rotated due to oxalic acid content and only 1 out of three varieties of greens a day should be from this list)
Parsley
Spinach
Mustard greens
Beet greens
Swiss chard
Radish tops
Sprouts (from 1 to 6 days after sprouting, sprouts have higher levels of alkaloids)
Leafy Greens II (low in oxalic acid)
Arugula
Carrot tops
Cucumber leaves
Endive
Ecarole
Frisee Lettuce
Kale (all types)
Mache
Red or green lettuce
Romaine lettuce
Spring greens
Turnip greens
Dandelion greens
Mint (any variety)
Basil (any variety)
Watercress
Wheatgrass
Chicory
Raspberry leaves
Cilantro
Radicchio
Bok Choy
Fennel (the leafy tops as well as the base)
Borage leaves
Dill leaves
Yu choy
NON-LEAFY VEGETABLES
These should be no more then about 15 % of the diet (About 1 tablespoon per 2 lbs of body weight per day).
Carrots
Broccoli (leaves and stems)
Edible flowers (roses, nasturtiums, pansies, hibiscus)
Celery
Bell peppers (any color)
Chinese pea pods (the flat kind without large peas)
Brussel sprouts
Cabbage (any type)
Broccolini
Mushrooms (any cultivated type)
Summer squash
Zucchini squash
Here is the link that I HIGHLY SUGGEST you read from Dr. Susan Brown DVM about veggies and the why’s and hows of feeding them:
http://www.rabbit.org/care/veggies.html