Not just the Everest Expeditions, Khumbu Valley had several other climbing peaks. Island Peak is the most popular climbing, followed by Mera Peak on the southern boundary of the Everest. Nepal Mountaineering Association (NMA) is responsible for issuing the necessary climbing permit. All climbing peaks are in upper elevation of Khumbu.
Here is a map with outline marking for famous climbing peak in the Everest. Thanks to Himalayan Map House for this useful map. The permit cost for climbing peaks was sharable in the past. Recently, permit cost is revised by NMA. Now Nepali citizen also needs to pay for the climbing permit. There is a warehouse in Dingboche and Chukung, where you can easily rent all necessary climbing gears. Boots are Scarpa (Plastic Boot) and they are a bit heavy, better rent a boot from Namche or bring your own tested climbing boots.
Also, here is an itinerary overview page for Everest. This will help you to know more about elevation and walking time in Everest. Out of six, five are the normal peak climbing. You don’t necessarily need previous climbing experience for these peaks. Maximum elevation is 6459 meters for Mera Peak. An hour of basic training prior to climbing days is enough to know about your climbing gears.
One is expedition, Ama Dablam. This is the third most popular permitted expedition in Himalayas. This is extremely difficult climbing and previous mountain experience is required. Below is the list of six different climbing peaks in the Khumbu.