Here are some suggestions for choosing the best wine to accompany asparagus.
Avoid wines with harsh tanins and that are heavily oaked, which eliminates most red wines. The classic matches would be Chenin Blanc or Sauvignon Blanc.
For asparagus with hollandaise, which is very buttery, you want something with high acidity such as a Sancerre.
Asparagus grilled with herbs and olive oil would lend itself to an herbaceous Bordeaux wine such as an Entre-Deux-Mers. The lower acidity of a Pinot Grigio would go well with a silky, rich asparagus risotto which a spicy Lirac from southern Rhone would partner white asparagus wrapped in Parma Ham.