My favorite way to eat asparagus when it's in season is simply grilled or roasted. Toss lightly in olive oil with a dusting of salt, and roast in the oven at 425 degrees for about 7 minutes - or toss on the grill.
BUT - if you are looking for some new ideas, here are some recipes to add to the mix:
Three ways to let asparagus shine (via the New York Times)
Shaved asparagus frittata (via Smitten Kitchen)