Preheat your oven to 400°F (200°C). Rinse the jasmine rice under cold water until clear to remove excess starch.
In a medium saucepan, combine 1 cup jasmine rice with 2 cups water. Bring to a boil over medium-high heat, then reduce heat to low, cover, and simmer for 15 minutes. Remove from heat and let sit, covered, for 5 minutes before fluffing with a fork.
In a small bowl, whisk together 2 tablespoons honey, 2 tablespoons Dijon mustard, 1 tablespoon olive oil, 1 tablespoon lemon juice, and a pinch of salt and pepper until smooth and well combined.
Place the salmon fillets skin-side down on a lined baking sheet. Arrange the trimmed asparagus around the salmon. Brush the honey mustard glaze generously over the salmon and drizzle some over the asparagus. Season all with additional salt and pepper.
Bake in the preheated oven for 12-15 minutes, or until the salmon flakes easily with a fork and the asparagus is tender-crisp. For a slightly caramelized top, broil for the last 1-2 minutes—watch closely to avoid burning.
Remove the salmon and asparagus from the oven. Plate atop a bed of jasmine rice and sprinkle with freshly chopped parsley. Serve immediately.