in my forest garden I have sour cherry
trees planted with my asparagus, they are super dwarfs so they don't cast much shade. I also have rhubarb and some bearded iris (for pollinators) and we generally have onions growing in the same beds.
this year I'm going to plant swiss chard in the center of the asparagus bed along where my soaker hose is..and at one end I'm going to seed in some "good king henry" seed I just got and I have some lattice at the Northwest end and I hope to put some vineing crops up that, have a couple baby kiwi vines and a baby clematis there from last year but they don't seem to be doing very well (on their hardiness zone edge here in zone 4)
sometimes I put things like squash or brassicas in the more vacant areas of the asparagus bed to fill in any bare spots..also..and it is a good place for greens like lettuces