There is already a question about getting to the top of Mount Everest without hiking too far but what I want is a little bit different. I am looking for a flight (regular or tourist ). I don't want to leave the plane/helicopter but just want to have a great view of the mountain.
Yes, there are numerous such offers:
They all seem to start at Kathmandu, so you can probably shop around there.
I used Buddha Air to see Mount Everest a couple years ago. I don't think the airline matters though, as they all leave from the same airport. It was a 50 minute flight.
I went to a travel agency in Kathmandu, and they booked my flight by phone. The flights are very early, because the sky is clearest then. My host drove me to the airport, although you could take a taxi.
They let people walk up to the cockpit one by one to snap a picture. It's a very tight fit in the plane though. You do get to see it from your window (it's on your left when approaching it, on your right after turning around). According to the Air Buddha website, you get within 20 miles.