Preheat the oven to 200°C or set the grill to medium.
Cut the tofu into 2cm cubes, then put them a mixing bowl. Add the oils, sesame seeds, rice vinegar and soy sauce, toss gently, then transfer to a baking dish. Bake or grill for 10-15 minutes, until golden all over, turning the cubes a couple of times.
Meanwhile, put the stock in a saucepan and gently bring to a simmer. Take a ladleful of the hot stock into a small bowl and mix with the miso paste. Set aside.
Add the peas and wakame to the pan and cook for 3 minutes. Stir in the miso mixture, then turn off the heat.
Serve with the baked tofu and a squeeze of lime juice.