To be totally knitpicky, Fox Corporation, which is the entity that kept the stuff not sold to Disney, is slightly less than 40% owned by the Murdoch family. The rest trades on the stock market. This includes the Fox OTA network, 28 TV stations, some production companies that make some of the shows seen on Fox, TMZ, Tubi, the MY network, the national Fox Sports channels, the Fox News channels and websites, 50% of the Big 10 network, and 50% of the USFL.
News Corporation, from which Fox was split off in 2013 owns Fox branded TV channels in Australia, the Foxtel cable/DBS/streaming monopoly in Australia, plus various newspapers including the Wall Street Journal, magazines, and book publishers. Murdoch family owns about 35% of this, the rest trades on the stock market.
Disney bought the 20th Century Fox studios and its various sub-brands, and the film library; the FX branded channels; the old 20th Television production company and its film library (including The Simpsons); and Fox’s shares in the National Geographic channel (75%), Hulu, and some Indian streaming services.
Disney had to sell the regional sports networks, which are now owned by Sinclair and branded as Bally’s under a advertising deal. Some other assets in Latin America, India, and Europe ended up in the hands of Hearst, Comcast, or Mexican hands.