Technically the dance is always in transition, rather like a flowing river. But, other than "later half of the golden era", this is the only name I've heard for this period of Egyptian dance. This is a time when the film industry in Egypt was now run by Egyptians, the Saudi Arabians were still patronizing the Cairo night clubs. This era would be the 1960s to the early 1990s
While we're on the topic of dancers whose hips I am envious of, here is Zizi Moustafa and Azza Sherif, and while we're on the topic of 60s hair, here's Soaud Hosny playing an almeh singing and dancing to a really cute song that's sort of about the wisdom of cutting loose now and then (if I can sum it up very shortly. Also, Taheya Karioka plays her mom in this film ^_^).
At the other end of the scale from Soheir, in terms of the stage persona they were known for, is Fifi Abdou. She is still around, and is known for her shimmies and brazenness. Although she insists she isn't an Almeh (singular of Awalim) many of my teachers have pointed to her as an example of someone who dances like one. She also acted quite a bit, and sometimes played somewhat unsavory characters. She has an air of being in-charge and is an icon for anyone who wants to cultivate that power in their own dancing (or personality). You can even find bags and T-shirts with "what would Fifi do?" printed on them! If you're looking for the definition of a Ma3lema (boss-lady), she's your gal.
Mona Said is another very powerful dancer from this time frame, who also owned a gym, and I can only describe her style as extreme abandon under precise control. Ranya Renee and Lotus Niraja have both studied with her. She and Aida . Nour may have come up from the awalim system, depending on who you ask, but Lucy for sure did.
The last one I'm going to bring up in this group is Nany, she retired in the 90s to have a family. This happens to be when things started to get hairy for dancers in Egypt. The economy took a turn and many Egyptians went to work in more conservative countries, which was one of the things that started changing the culture in Egypt. Thankfully, she is back! Some of her recent clips are on that playlist, and she is sometimes teaches in NYC, Paris (where she lives now), and other places in Europe. She is an excellent instructor and also from the Awalim tradition.