I need more info to give an answer to that. Practically anything can be grown with asparagus. I have garlic, onions, broccoli, peppers, sweet potatoes, and lettuce growing in the same raised bed. Last year I also had carrots and flowering plants growing adjacent to the asparagus.
Check out companion planting. This'll tell you the best thing to grow. I grew certain herbs, and some marigolds (French type) as a result. It is VERY interesting to grow things this way. Oh, it is also quite addictive.