Bring a large pot of water to boil. Add some salt and broccolini. Cook for 3 minutes or until tender crisp. Remove with a strainer and immediately plunge into a bowl of ice cold water to stop the cooking. Drain and set aside.
Add pasta to the same pot and cook until al dente, about 8 to 11 minutes, depending on the type of pasta.
While pasta is cooking, heat extra virgin olive oil in a small saucepan. Add garlic and crushed red pepper flakes. Cook for 1 to 2 minutes until garlic is lightly brown. Remove and set aside.
When pasta is cooked, drain. Return cooked broccolini to the pot. Pour prepared olive oil over pasta and vegetables. Add salt and pepper. Mix well.
Sprinkle feta and parmesan cheese on the top. Serve immediately.