- Preheat oven to 425°. Line a large baking sheet with parchment paper. 
- Press tofu by placing on a paper towel–lined plate. Lay another paper towel over tofu; cover with a plate and an object such as a can, for weight. 
- Meanwhile, in a medium bowl, whisk together ¼ cup sesame oil, tamari, 2 tablespoons toasted sesame oil, garlic, lime juice and ginger. 
- Remove tofu from press, and dry one last time with paper towel. Cut tofu into ½-inch cubes. Add to bowl with marinade; stir to coat.  
- Slice broccoli into florets. Add to tofu, and stir to combine. Transfer to baking sheet. Roast about 20 minutes, until tofu and broccoli begin to crisp. 
- While tofu and broccoli are roasting, in a small bowl whisk together remaining tablespoon sesame oil, remaining teaspoon toasted sesame oil, rice vinegar and salt. 
- Bring a medium pot of water to boil, and add rice noodles; cook 2–3 minutes, until soft. Drain, and rinse briefly with cold water. Return to pot, and stir in sesame oil dressing. 
- Serve tofu and broccoli over a bed of noodles, and garnish with sesame seeds and a lime wedge. Serve with additional tamari and red pepper flakes on the side.