FTR - despite having read, and enjoyed to a degree the GoT series, I would never recommend them to someone I did not know well. There are themes and scenes in those books that cross lines many people do not want to cross in their reading.
The Akata series is modern fantasy. Along the lines of Harry Potter, but IMO better written and more engaging. Lighthearted but with solid story and engaging characters.
The Broken Earth series is alternative Future Science Fantasy. We, the human race, caused a global natural disaster that brought on a cyclical nuclear winter. There are beings with “powers” but not of the sort you are used to seeing in high fantasy novels. Think powers more rooted in very advanced science as opposed to “magic”.
If I were to recommend one of them over the other for someone who has never been a reader of Fantasy, I would say the Broken Earth series. It’s more related to Sci-Fi or Alternative Future than it is Fantasy.
The Kingkiller chronicles are excellent books as well. The series is still under development, so if that matters. I know people that refuse to read a series until it’s complete.
If you want another recommendation that’s more traditional fantasy and Excellent; I would recommend the Mystborn trilogy from Brandon Sanderson.
For some campy Science Fiction, I would recommend the Murderbot Diaries. They are very entertaining.