The 25-year-old actress began her career in 2007, but is yet to star with Shah Rukh, Aamir or Salman Khan in a film.
Speaking to IANS, the Players star said: "I would love to work with all three... maybe at the same time. Whatever comes my way is good. I would like Aamir to direct me. One of my favourite films is Taare Zameen Par.
"For me, I love him as a director. I think he has a keen eye when it comes to performances; so I would like him to give me that knowledge."
The actress said that while her films have only done average business, she has no regrets about the choices she made.
"There are no regrets, it is all about looking at things positively and regarding everything as a part of your growth. I don't think anyone should have regrets, whether it is your personal decisions or your career choices, as you learn from them," she explained.
"Being a human is about learning from your life and that's why we have been put in this world... to gain knowledge," she added.
Kapoor will star in Bhaag Milkha Bhaag with Farhan Akhtar and Raanjhnaa, in which she will take on an unglamorous role.
"In Raanjhnaa, I play a Banarsi girl who joins JNU [Jawaharlal Nehru University]," said Kapoor. "I think it is important to have an Indian touch, as we have been doing a lot of films influenced by the West. I like the language, story and everything of the film. I had the best time working on this film."
A daughter of veteran actor Anil Kapoor, Sonam Kapoor made her Bollywood debut in Saawariya.
The actress, who is an ambassador for L'Oreal and a favourite among fashion designers, has been criticised for focusing on fashion more than films,
Roberto Cavalli recently described Sonam Kapoor as "one of the most beautiful women in India".